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Simplifying -3(x + -1) = 2(x + 4) + 5 Reorder the terms: -3(-1 + x) = 2(x + 4) + 5 (-1 * -3 + x * -3) = 2(x + 4) + 5 (3 + -3x) = 2(x + 4) + 5 Reorder the terms: 3 + -3x = 2(4 + x) + 5 3 + -3x = (4 * 2 + x * 2) + 5 3 + -3x = (8 + 2x) + 5 Reorder the terms: 3 + -3x = 8 + 5 + 2x Combine like terms: 8 + 5 = 13 3 + -3x = 13 + 2x Solving 3 + -3x = 13 + 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. 3 + -3x + -2x = 13 + 2x + -2x Combine like terms: -3x + -2x = -5x 3 + -5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -5x = 13 + 0 3 + -5x = 13 Add '-3' to each side of the equation. 3 + -3 + -5x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 13 + -3 -5x = 13 + -3 Combine like terms: 13 + -3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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