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Simplifying -8(-5x + -5) = -10(-10x + 8) Reorder the terms: -8(-5 + -5x) = -10(-10x + 8) (-5 * -8 + -5x * -8) = -10(-10x + 8) (40 + 40x) = -10(-10x + 8) Reorder the terms: 40 + 40x = -10(8 + -10x) 40 + 40x = (8 * -10 + -10x * -10) 40 + 40x = (-80 + 100x) Solving 40 + 40x = -80 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 40 + 40x + -100x = -80 + 100x + -100x Combine like terms: 40x + -100x = -60x 40 + -60x = -80 + 100x + -100x Combine like terms: 100x + -100x = 0 40 + -60x = -80 + 0 40 + -60x = -80 Add '-40' to each side of the equation. 40 + -40 + -60x = -80 + -40 Combine like terms: 40 + -40 = 0 0 + -60x = -80 + -40 -60x = -80 + -40 Combine like terms: -80 + -40 = -120 -60x = -120 Divide each side by '-60'. x = 2 Simplifying x = 2
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