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Simplifying -0.5(x + -1) + 2 = 3(5 + -1x) Reorder the terms: -0.5(-1 + x) + 2 = 3(5 + -1x) (-1 * -0.5 + x * -0.5) + 2 = 3(5 + -1x) (0.5 + -0.5x) + 2 = 3(5 + -1x) Reorder the terms: 0.5 + 2 + -0.5x = 3(5 + -1x) Combine like terms: 0.5 + 2 = 2.5 2.5 + -0.5x = 3(5 + -1x) 2.5 + -0.5x = (5 * 3 + -1x * 3) 2.5 + -0.5x = (15 + -3x) Solving 2.5 + -0.5x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2.5 + -0.5x + 3x = 15 + -3x + 3x Combine like terms: -0.5x + 3x = 2.5x 2.5 + 2.5x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 2.5 + 2.5x = 15 + 0 2.5 + 2.5x = 15 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 2.5x = 15 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.5x = 15 + -2.5 2.5x = 15 + -2.5 Combine like terms: 15 + -2.5 = 12.5 2.5x = 12.5 Divide each side by '2.5'. x = 5 Simplifying x = 5
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