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Simplifying -3(x + -3) + 2(x + 2) = 24 Reorder the terms: -3(-3 + x) + 2(x + 2) = 24 (-3 * -3 + x * -3) + 2(x + 2) = 24 (9 + -3x) + 2(x + 2) = 24 Reorder the terms: 9 + -3x + 2(2 + x) = 24 9 + -3x + (2 * 2 + x * 2) = 24 9 + -3x + (4 + 2x) = 24 Reorder the terms: 9 + 4 + -3x + 2x = 24 Combine like terms: 9 + 4 = 13 13 + -3x + 2x = 24 Combine like terms: -3x + 2x = -1x 13 + -1x = 24 Solving 13 + -1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 24 + -13 -1x = 24 + -13 Combine like terms: 24 + -13 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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