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Simplifying 9(x + -2) = 5(2 + x) Reorder the terms: 9(-2 + x) = 5(2 + x) (-2 * 9 + x * 9) = 5(2 + x) (-18 + 9x) = 5(2 + x) -18 + 9x = (2 * 5 + x * 5) -18 + 9x = (10 + 5x) Solving -18 + 9x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 9x + -5x = 10 + 5x + -5x Combine like terms: 9x + -5x = 4x -18 + 4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 4x = 10 + 0 -18 + 4x = 10 Add '18' to each side of the equation. -18 + 18 + 4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 10 + 18 4x = 10 + 18 Combine like terms: 10 + 18 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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