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Simplifying -9(x + 8) + 81 = 16 + -10x Reorder the terms: -9(8 + x) + 81 = 16 + -10x (8 * -9 + x * -9) + 81 = 16 + -10x (-72 + -9x) + 81 = 16 + -10x Reorder the terms: -72 + 81 + -9x = 16 + -10x Combine like terms: -72 + 81 = 9 9 + -9x = 16 + -10x Solving 9 + -9x = 16 + -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. 9 + -9x + 10x = 16 + -10x + 10x Combine like terms: -9x + 10x = 1x 9 + 1x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 1x = 16 + 0 9 + 1x = 16 Add '-9' to each side of the equation. 9 + -9 + 1x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 16 + -9 1x = 16 + -9 Combine like terms: 16 + -9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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