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Simplifying 2(2 + 5x) = 9(x + 2) (2 * 2 + 5x * 2) = 9(x + 2) (4 + 10x) = 9(x + 2) Reorder the terms: 4 + 10x = 9(2 + x) 4 + 10x = (2 * 9 + x * 9) 4 + 10x = (18 + 9x) Solving 4 + 10x = 18 + 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. 4 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = 18 + 0 4 + 1x = 18 Add '-4' to each side of the equation. 4 + -4 + 1x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 18 + -4 1x = 18 + -4 Combine like terms: 18 + -4 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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