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Simplifying -3(-12 + -1x) = -1(x + -8) (-12 * -3 + -1x * -3) = -1(x + -8) (36 + 3x) = -1(x + -8) Reorder the terms: 36 + 3x = -1(-8 + x) 36 + 3x = (-8 * -1 + x * -1) 36 + 3x = (8 + -1x) Solving 36 + 3x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 36 + 3x + x = 8 + -1x + x Combine like terms: 3x + x = 4x 36 + 4x = 8 + -1x + x Combine like terms: -1x + x = 0 36 + 4x = 8 + 0 36 + 4x = 8 Add '-36' to each side of the equation. 36 + -36 + 4x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 8 + -36 4x = 8 + -36 Combine like terms: 8 + -36 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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