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Simplifying 9(9x + 5) = 9(10x + 8) Reorder the terms: 9(5 + 9x) = 9(10x + 8) (5 * 9 + 9x * 9) = 9(10x + 8) (45 + 81x) = 9(10x + 8) Reorder the terms: 45 + 81x = 9(8 + 10x) 45 + 81x = (8 * 9 + 10x * 9) 45 + 81x = (72 + 90x) Solving 45 + 81x = 72 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 45 + 81x + -90x = 72 + 90x + -90x Combine like terms: 81x + -90x = -9x 45 + -9x = 72 + 90x + -90x Combine like terms: 90x + -90x = 0 45 + -9x = 72 + 0 45 + -9x = 72 Add '-45' to each side of the equation. 45 + -45 + -9x = 72 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 72 + -45 -9x = 72 + -45 Combine like terms: 72 + -45 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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