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Simplifying 9(x + 2) = 5(x + 4) Reorder the terms: 9(2 + x) = 5(x + 4) (2 * 9 + x * 9) = 5(x + 4) (18 + 9x) = 5(x + 4) Reorder the terms: 18 + 9x = 5(4 + x) 18 + 9x = (4 * 5 + x * 5) 18 + 9x = (20 + 5x) Solving 18 + 9x = 20 + 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 = 20 + 5x + -5x Combine like terms: 9x + -5x = 4x 18 + 4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 4x = 20 + 0 18 + 4x = 20 Add '-18' to each side of the equation. 18 + -18 + 4x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 20 + -18 4x = 20 + -18 Combine like terms: 20 + -18 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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