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Simplifying 8 + -5(4 + -2x) = 2(4 + -1x) + -8 8 + (4 * -5 + -2x * -5) = 2(4 + -1x) + -8 8 + (-20 + 10x) = 2(4 + -1x) + -8 Combine like terms: 8 + -20 = -12 -12 + 10x = 2(4 + -1x) + -8 -12 + 10x = (4 * 2 + -1x * 2) + -8 -12 + 10x = (8 + -2x) + -8 Reorder the terms: -12 + 10x = 8 + -8 + -2x Combine like terms: 8 + -8 = 0 -12 + 10x = 0 + -2x -12 + 10x = -2x Solving -12 + 10x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 10x + 2x = -2x + 2x Combine like terms: 10x + 2x = 12x -12 + 12x = -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 12x = 0 Add '12' to each side of the equation. -12 + 12 + 12x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 0 + 12 12x = 0 + 12 Combine like terms: 0 + 12 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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