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Simplifying 10(x + 7) = 9(x + 9) Reorder the terms: 10(7 + x) = 9(x + 9) (7 * 10 + x * 10) = 9(x + 9) (70 + 10x) = 9(x + 9) Reorder the terms: 70 + 10x = 9(9 + x) 70 + 10x = (9 * 9 + x * 9) 70 + 10x = (81 + 9x) Solving 70 + 10x = 81 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 70 + 10x + -9x = 81 + 9x + -9x Combine like terms: 10x + -9x = 1x 70 + 1x = 81 + 9x + -9x Combine like terms: 9x + -9x = 0 70 + 1x = 81 + 0 70 + 1x = 81 Add '-70' to each side of the equation. 70 + -70 + 1x = 81 + -70 Combine like terms: 70 + -70 = 0 0 + 1x = 81 + -70 1x = 81 + -70 Combine like terms: 81 + -70 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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