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Simplifying 4(-1 + -2x) = 3(12 + -1x) (-1 * 4 + -2x * 4) = 3(12 + -1x) (-4 + -8x) = 3(12 + -1x) -4 + -8x = (12 * 3 + -1x * 3) -4 + -8x = (36 + -3x) Solving -4 + -8x = 36 + -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. -4 + -8x + 3x = 36 + -3x + 3x Combine like terms: -8x + 3x = -5x -4 + -5x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + -5x = 36 + 0 -4 + -5x = 36 Add '4' to each side of the equation. -4 + 4 + -5x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 36 + 4 -5x = 36 + 4 Combine like terms: 36 + 4 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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