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Simplifying 2(5x + 9) = 9x + 16 Reorder the terms: 2(9 + 5x) = 9x + 16 (9 * 2 + 5x * 2) = 9x + 16 (18 + 10x) = 9x + 16 Reorder the terms: 18 + 10x = 16 + 9x Solving 18 + 10x = 16 + 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. 18 + 10x + -9x = 16 + 9x + -9x Combine like terms: 10x + -9x = 1x 18 + 1x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 1x = 16 + 0 18 + 1x = 16 Add '-18' to each side of the equation. 18 + -18 + 1x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 16 + -18 1x = 16 + -18 Combine like terms: 16 + -18 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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