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Simplifying -2(x + -8) + -12x = -8(1 + 2x) Reorder the terms: -2(-8 + x) + -12x = -8(1 + 2x) (-8 * -2 + x * -2) + -12x = -8(1 + 2x) (16 + -2x) + -12x = -8(1 + 2x) Combine like terms: -2x + -12x = -14x 16 + -14x = -8(1 + 2x) 16 + -14x = (1 * -8 + 2x * -8) 16 + -14x = (-8 + -16x) Solving 16 + -14x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 16 + -14x + 16x = -8 + -16x + 16x Combine like terms: -14x + 16x = 2x 16 + 2x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 16 + 2x = -8 + 0 16 + 2x = -8 Add '-16' to each side of the equation. 16 + -16 + 2x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -8 + -16 2x = -8 + -16 Combine like terms: -8 + -16 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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