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Simplifying -3(x + -4) + 2(5 + 2x) = 29 Reorder the terms: -3(-4 + x) + 2(5 + 2x) = 29 (-4 * -3 + x * -3) + 2(5 + 2x) = 29 (12 + -3x) + 2(5 + 2x) = 29 12 + -3x + (5 * 2 + 2x * 2) = 29 12 + -3x + (10 + 4x) = 29 Reorder the terms: 12 + 10 + -3x + 4x = 29 Combine like terms: 12 + 10 = 22 22 + -3x + 4x = 29 Combine like terms: -3x + 4x = 1x 22 + 1x = 29 Solving 22 + 1x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = 29 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 29 + -22 1x = 29 + -22 Combine like terms: 29 + -22 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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