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Simplifying -8(x + -1) = -10(x + -10) Reorder the terms: -8(-1 + x) = -10(x + -10) (-1 * -8 + x * -8) = -10(x + -10) (8 + -8x) = -10(x + -10) Reorder the terms: 8 + -8x = -10(-10 + x) 8 + -8x = (-10 * -10 + x * -10) 8 + -8x = (100 + -10x) Solving 8 + -8x = 100 + -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 + -8x + 10x = 100 + -10x + 10x Combine like terms: -8x + 10x = 2x 8 + 2x = 100 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 2x = 100 + 0 8 + 2x = 100 Add '-8' to each side of the equation. 8 + -8 + 2x = 100 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 100 + -8 2x = 100 + -8 Combine like terms: 100 + -8 = 92 2x = 92 Divide each side by '2'. x = 46 Simplifying x = 46
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