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Simplifying 8(10 + -10x) = -5x + -5(1 + -2x) (10 * 8 + -10x * 8) = -5x + -5(1 + -2x) (80 + -80x) = -5x + -5(1 + -2x) 80 + -80x = -5x + (1 * -5 + -2x * -5) 80 + -80x = -5x + (-5 + 10x) Reorder the terms: 80 + -80x = -5 + -5x + 10x Combine like terms: -5x + 10x = 5x 80 + -80x = -5 + 5x Solving 80 + -80x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 80 + -80x + -5x = -5 + 5x + -5x Combine like terms: -80x + -5x = -85x 80 + -85x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 80 + -85x = -5 + 0 80 + -85x = -5 Add '-80' to each side of the equation. 80 + -80 + -85x = -5 + -80 Combine like terms: 80 + -80 = 0 0 + -85x = -5 + -80 -85x = -5 + -80 Combine like terms: -5 + -80 = -85 -85x = -85 Divide each side by '-85'. x = 1 Simplifying x = 1
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