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Simplifying 2(20 + x) = 5(9 + x) (20 * 2 + x * 2) = 5(9 + x) (40 + 2x) = 5(9 + x) 40 + 2x = (9 * 5 + x * 5) 40 + 2x = (45 + 5x) Solving 40 + 2x = 45 + 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. 40 + 2x + -5x = 45 + 5x + -5x Combine like terms: 2x + -5x = -3x 40 + -3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -3x = 45 + 0 40 + -3x = 45 Add '-40' to each side of the equation. 40 + -40 + -3x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 45 + -40 -3x = 45 + -40 Combine like terms: 45 + -40 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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