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Simplifying 2(2x + 5) = 2(x + 9) Reorder the terms: 2(5 + 2x) = 2(x + 9) (5 * 2 + 2x * 2) = 2(x + 9) (10 + 4x) = 2(x + 9) Reorder the terms: 10 + 4x = 2(9 + x) 10 + 4x = (9 * 2 + x * 2) 10 + 4x = (18 + 2x) Solving 10 + 4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 18 + 0 10 + 2x = 18 Add '-10' to each side of the equation. 10 + -10 + 2x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 18 + -10 2x = 18 + -10 Combine like terms: 18 + -10 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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