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Simplifying 2(-4x + 10) = -1(-4x + -8) Reorder the terms: 2(10 + -4x) = -1(-4x + -8) (10 * 2 + -4x * 2) = -1(-4x + -8) (20 + -8x) = -1(-4x + -8) Reorder the terms: 20 + -8x = -1(-8 + -4x) 20 + -8x = (-8 * -1 + -4x * -1) 20 + -8x = (8 + 4x) Solving 20 + -8x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -8x + -4x = 8 + 4x + -4x Combine like terms: -8x + -4x = -12x 20 + -12x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -12x = 8 + 0 20 + -12x = 8 Add '-20' to each side of the equation. 20 + -20 + -12x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 8 + -20 -12x = 8 + -20 Combine like terms: 8 + -20 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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