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