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Simplifying -5(x + -8) = 10(x + -5) Reorder the terms: -5(-8 + x) = 10(x + -5) (-8 * -5 + x * -5) = 10(x + -5) (40 + -5x) = 10(x + -5) Reorder the terms: 40 + -5x = 10(-5 + x) 40 + -5x = (-5 * 10 + x * 10) 40 + -5x = (-50 + 10x) Solving 40 + -5x = -50 + 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. 40 + -5x + -10x = -50 + 10x + -10x Combine like terms: -5x + -10x = -15x 40 + -15x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -15x = -50 + 0 40 + -15x = -50 Add '-40' to each side of the equation. 40 + -40 + -15x = -50 + -40 Combine like terms: 40 + -40 = 0 0 + -15x = -50 + -40 -15x = -50 + -40 Combine like terms: -50 + -40 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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