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Simplifying -2(x + 4) = 3(x + -1) Reorder the terms: -2(4 + x) = 3(x + -1) (4 * -2 + x * -2) = 3(x + -1) (-8 + -2x) = 3(x + -1) Reorder the terms: -8 + -2x = 3(-1 + x) -8 + -2x = (-1 * 3 + x * 3) -8 + -2x = (-3 + 3x) Solving -8 + -2x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -2x + -3x = -3 + 3x + -3x Combine like terms: -2x + -3x = -5x -8 + -5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -5x = -3 + 0 -8 + -5x = -3 Add '8' to each side of the equation. -8 + 8 + -5x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -3 + 8 -5x = -3 + 8 Combine like terms: -3 + 8 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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