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Simplifying 9(x + 8) = 18(x + 5) Reorder the terms: 9(8 + x) = 18(x + 5) (8 * 9 + x * 9) = 18(x + 5) (72 + 9x) = 18(x + 5) Reorder the terms: 72 + 9x = 18(5 + x) 72 + 9x = (5 * 18 + x * 18) 72 + 9x = (90 + 18x) Solving 72 + 9x = 90 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 72 + 9x + -18x = 90 + 18x + -18x Combine like terms: 9x + -18x = -9x 72 + -9x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 72 + -9x = 90 + 0 72 + -9x = 90 Add '-72' to each side of the equation. 72 + -72 + -9x = 90 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = 90 + -72 -9x = 90 + -72 Combine like terms: 90 + -72 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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