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Jigsaw — Simplify 3(x+4) − 2(x−1)

Mathematics / AEN

Task: Simplify the expression: 3(x + 4) − 2(x − 1). Write your answer with like terms collected.

Rebuild the answer: model on the left, hint on the right. Then pick your choice-board level.

Model · Step 1

Expand 3(x + 4) → 3x + 12

Hint

Multiply 3 by x and by 4.

Model · Step 2

Expand −2(x − 1) → −2x + 2

Hint

Watch the minus: −2 × (−1) is +2.

Model · Step 3

Line up: 3x + 12 − 2x + 2

Hint

Write all terms in one row.

Model · Step 4

Collect x terms: 3x − 2x = x

Hint

Group letters that match.

Model · Step 5

Collect numbers: 12 + 2 = 14

Hint

Add the constant parts.

Model · Step 6

Final answer: x + 14

Hint

One x term and one number.

Choice board