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Simplifying 20 + (15x) = 40 + 15(1 + -1x) 20 + (15x) = 40 + (1 * 15 + -1x * 15) 20 + (15x) = 40 + (15 + -15x) Combine like terms: 40 + 15 = 55 20 + (15x) = 55 + -15x Solving 20 + (15x) = 55 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 20 + (15x) + 15x = 55 + -15x + 15x Combine like terms: (15x) + 15x = 30x 20 + 30x = 55 + -15x + 15x Combine like terms: -15x + 15x = 0 20 + 30x = 55 + 0 20 + 30x = 55 Add '-20' to each side of the equation. 20 + -20 + 30x = 55 + -20 Combine like terms: 20 + -20 = 0 0 + 30x = 55 + -20 30x = 55 + -20 Combine like terms: 55 + -20 = 35 30x = 35 Divide each side by '30'. x = 1.166666667 Simplifying x = 1.166666667
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