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Simplifying 9(x + 2) + -5x = 2(x + 10) Reorder the terms: 9(2 + x) + -5x = 2(x + 10) (2 * 9 + x * 9) + -5x = 2(x + 10) (18 + 9x) + -5x = 2(x + 10) Combine like terms: 9x + -5x = 4x 18 + 4x = 2(x + 10) Reorder the terms: 18 + 4x = 2(10 + x) 18 + 4x = (10 * 2 + x * 2) 18 + 4x = (20 + 2x) Solving 18 + 4x = 20 + 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. 18 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = 20 + 0 18 + 2x = 20 Add '-18' to each side of the equation. 18 + -18 + 2x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 20 + -18 2x = 20 + -18 Combine like terms: 20 + -18 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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