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Simplifying 5(2x + 2) = 9(x + 3) Reorder the terms: 5(2 + 2x) = 9(x + 3) (2 * 5 + 2x * 5) = 9(x + 3) (10 + 10x) = 9(x + 3) Reorder the terms: 10 + 10x = 9(3 + x) 10 + 10x = (3 * 9 + x * 9) 10 + 10x = (27 + 9x) Solving 10 + 10x = 27 + 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. 10 + 10x + -9x = 27 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = 27 + 0 10 + 1x = 27 Add '-10' to each side of the equation. 10 + -10 + 1x = 27 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 27 + -10 1x = 27 + -10 Combine like terms: 27 + -10 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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