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Simplifying 4x + -1(2x + -8) = 5(1 + -2x) Reorder the terms: 4x + -1(-8 + 2x) = 5(1 + -2x) 4x + (-8 * -1 + 2x * -1) = 5(1 + -2x) 4x + (8 + -2x) = 5(1 + -2x) Reorder the terms: 8 + 4x + -2x = 5(1 + -2x) Combine like terms: 4x + -2x = 2x 8 + 2x = 5(1 + -2x) 8 + 2x = (1 * 5 + -2x * 5) 8 + 2x = (5 + -10x) Solving 8 + 2x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 2x + 10x = 5 + -10x + 10x Combine like terms: 2x + 10x = 12x 8 + 12x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 12x = 5 + 0 8 + 12x = 5 Add '-8' to each side of the equation. 8 + -8 + 12x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 5 + -8 12x = 5 + -8 Combine like terms: 5 + -8 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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