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Simplifying 10(x + 1) = 9(-8x + -8) Reorder the terms: 10(1 + x) = 9(-8x + -8) (1 * 10 + x * 10) = 9(-8x + -8) (10 + 10x) = 9(-8x + -8) Reorder the terms: 10 + 10x = 9(-8 + -8x) 10 + 10x = (-8 * 9 + -8x * 9) 10 + 10x = (-72 + -72x) Solving 10 + 10x = -72 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 10 + 10x + 72x = -72 + -72x + 72x Combine like terms: 10x + 72x = 82x 10 + 82x = -72 + -72x + 72x Combine like terms: -72x + 72x = 0 10 + 82x = -72 + 0 10 + 82x = -72 Add '-10' to each side of the equation. 10 + -10 + 82x = -72 + -10 Combine like terms: 10 + -10 = 0 0 + 82x = -72 + -10 82x = -72 + -10 Combine like terms: -72 + -10 = -82 82x = -82 Divide each side by '82'. x = -1 Simplifying x = -1
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