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Simplifying 9(7x + 10) = 8(9x + 9) Reorder the terms: 9(10 + 7x) = 8(9x + 9) (10 * 9 + 7x * 9) = 8(9x + 9) (90 + 63x) = 8(9x + 9) Reorder the terms: 90 + 63x = 8(9 + 9x) 90 + 63x = (9 * 8 + 9x * 8) 90 + 63x = (72 + 72x) Solving 90 + 63x = 72 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 90 + 63x + -72x = 72 + 72x + -72x Combine like terms: 63x + -72x = -9x 90 + -9x = 72 + 72x + -72x Combine like terms: 72x + -72x = 0 90 + -9x = 72 + 0 90 + -9x = 72 Add '-90' to each side of the equation. 90 + -90 + -9x = 72 + -90 Combine like terms: 90 + -90 = 0 0 + -9x = 72 + -90 -9x = 72 + -90 Combine like terms: 72 + -90 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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