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