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Simplifying 9(9 + x) = 10(x + 7) (9 * 9 + x * 9) = 10(x + 7) (81 + 9x) = 10(x + 7) Reorder the terms: 81 + 9x = 10(7 + x) 81 + 9x = (7 * 10 + x * 10) 81 + 9x = (70 + 10x) Solving 81 + 9x = 70 + 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. 81 + 9x + -10x = 70 + 10x + -10x Combine like terms: 9x + -10x = -1x 81 + -1x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 81 + -1x = 70 + 0 81 + -1x = 70 Add '-81' to each side of the equation. 81 + -81 + -1x = 70 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 70 + -81 -1x = 70 + -81 Combine like terms: 70 + -81 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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