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Simplifying 10(x + 9) + -8 = 10 + 8x Reorder the terms: 10(9 + x) + -8 = 10 + 8x (9 * 10 + x * 10) + -8 = 10 + 8x (90 + 10x) + -8 = 10 + 8x Reorder the terms: 90 + -8 + 10x = 10 + 8x Combine like terms: 90 + -8 = 82 82 + 10x = 10 + 8x Solving 82 + 10x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 82 + 10x + -8x = 10 + 8x + -8x Combine like terms: 10x + -8x = 2x 82 + 2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 82 + 2x = 10 + 0 82 + 2x = 10 Add '-82' to each side of the equation. 82 + -82 + 2x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + 2x = 10 + -82 2x = 10 + -82 Combine like terms: 10 + -82 = -72 2x = -72 Divide each side by '2'. x = -36 Simplifying x = -36
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