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Simplifying 3(0.5x + -1) = 5(2.5x + 3) Reorder the terms: 3(-1 + 0.5x) = 5(2.5x + 3) (-1 * 3 + 0.5x * 3) = 5(2.5x + 3) (-3 + 1.5x) = 5(2.5x + 3) Reorder the terms: -3 + 1.5x = 5(3 + 2.5x) -3 + 1.5x = (3 * 5 + 2.5x * 5) -3 + 1.5x = (15 + 12.5x) Solving -3 + 1.5x = 15 + 12.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5x' to each side of the equation. -3 + 1.5x + -12.5x = 15 + 12.5x + -12.5x Combine like terms: 1.5x + -12.5x = -11x -3 + -11x = 15 + 12.5x + -12.5x Combine like terms: 12.5x + -12.5x = 0.0 -3 + -11x = 15 + 0.0 -3 + -11x = 15 Add '3' to each side of the equation. -3 + 3 + -11x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 15 + 3 -11x = 15 + 3 Combine like terms: 15 + 3 = 18 -11x = 18 Divide each side by '-11'. x = -1.636363636 Simplifying x = -1.636363636
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