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Simplifying 15x + (3x + 2x) = 18 + -1(x + -1) Combine like terms: 3x + 2x = 5x 15x + (5x) = 18 + -1(x + -1) 15x + (5x) = 18 + -1(x + -1) Combine like terms: 15x + (5x) = 20x 20x = 18 + -1(x + -1) Reorder the terms: 20x = 18 + -1(-1 + x) 20x = 18 + (-1 * -1 + x * -1) 20x = 18 + (1 + -1x) Combine like terms: 18 + 1 = 19 20x = 19 + -1x Solving 20x = 19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20x + x = 19 + -1x + x Combine like terms: 20x + x = 21x 21x = 19 + -1x + x Combine like terms: -1x + x = 0 21x = 19 + 0 21x = 19 Divide each side by '21'. x = 0.9047619048 Simplifying x = 0.9047619048
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