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Simplifying 2(9 + x) = 5(x + 1) (9 * 2 + x * 2) = 5(x + 1) (18 + 2x) = 5(x + 1) Reorder the terms: 18 + 2x = 5(1 + x) 18 + 2x = (1 * 5 + x * 5) 18 + 2x = (5 + 5x) Solving 18 + 2x = 5 + 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 + 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x 18 + -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -3x = 5 + 0 18 + -3x = 5 Add '-18' to each side of the equation. 18 + -18 + -3x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 5 + -18 -3x = 5 + -18 Combine like terms: 5 + -18 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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