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Simplifying -3(x + 3) = 2(x + 8) Reorder the terms: -3(3 + x) = 2(x + 8) (3 * -3 + x * -3) = 2(x + 8) (-9 + -3x) = 2(x + 8) Reorder the terms: -9 + -3x = 2(8 + x) -9 + -3x = (8 * 2 + x * 2) -9 + -3x = (16 + 2x) Solving -9 + -3x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -3x + -2x = 16 + 2x + -2x Combine like terms: -3x + -2x = -5x -9 + -5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -5x = 16 + 0 -9 + -5x = 16 Add '9' to each side of the equation. -9 + 9 + -5x = 16 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 16 + 9 -5x = 16 + 9 Combine like terms: 16 + 9 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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