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Simplifying (3x + -1) + -1(8x + -4) = -12 Reorder the terms: (-1 + 3x) + -1(8x + -4) = -12 Remove parenthesis around (-1 + 3x) -1 + 3x + -1(8x + -4) = -12 Reorder the terms: -1 + 3x + -1(-4 + 8x) = -12 -1 + 3x + (-4 * -1 + 8x * -1) = -12 -1 + 3x + (4 + -8x) = -12 Reorder the terms: -1 + 4 + 3x + -8x = -12 Combine like terms: -1 + 4 = 3 3 + 3x + -8x = -12 Combine like terms: 3x + -8x = -5x 3 + -5x = -12 Solving 3 + -5x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -12 + -3 -5x = -12 + -3 Combine like terms: -12 + -3 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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