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Simplifying -3(x + 4) + -2(-1x + -8) = -4(x + -1) Reorder the terms: -3(4 + x) + -2(-1x + -8) = -4(x + -1) (4 * -3 + x * -3) + -2(-1x + -8) = -4(x + -1) (-12 + -3x) + -2(-1x + -8) = -4(x + -1) Reorder the terms: -12 + -3x + -2(-8 + -1x) = -4(x + -1) -12 + -3x + (-8 * -2 + -1x * -2) = -4(x + -1) -12 + -3x + (16 + 2x) = -4(x + -1) Reorder the terms: -12 + 16 + -3x + 2x = -4(x + -1) Combine like terms: -12 + 16 = 4 4 + -3x + 2x = -4(x + -1) Combine like terms: -3x + 2x = -1x 4 + -1x = -4(x + -1) Reorder the terms: 4 + -1x = -4(-1 + x) 4 + -1x = (-1 * -4 + x * -4) 4 + -1x = (4 + -4x) Add '-4' to each side of the equation. 4 + -4 + -1x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 0 + -1x = 4 + -4 + -4x -1x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 -1x = 0 + -4x -1x = -4x Solving -1x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x 3x = -4x + 4x Combine like terms: -4x + 4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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