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Simplifying -7(5 + 8x) = -10x + -9(1 + 8x) (5 * -7 + 8x * -7) = -10x + -9(1 + 8x) (-35 + -56x) = -10x + -9(1 + 8x) -35 + -56x = -10x + (1 * -9 + 8x * -9) -35 + -56x = -10x + (-9 + -72x) Reorder the terms: -35 + -56x = -9 + -10x + -72x Combine like terms: -10x + -72x = -82x -35 + -56x = -9 + -82x Solving -35 + -56x = -9 + -82x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82x' to each side of the equation. -35 + -56x + 82x = -9 + -82x + 82x Combine like terms: -56x + 82x = 26x -35 + 26x = -9 + -82x + 82x Combine like terms: -82x + 82x = 0 -35 + 26x = -9 + 0 -35 + 26x = -9 Add '35' to each side of the equation. -35 + 35 + 26x = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 26x = -9 + 35 26x = -9 + 35 Combine like terms: -9 + 35 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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