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Simplifying 0.5x + 2.5 = 1.5 + -1x Reorder the terms: 2.5 + 0.5x = 1.5 + -1x Solving 2.5 + 0.5x = 1.5 + -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. 2.5 + 0.5x + x = 1.5 + -1x + x Combine like terms: 0.5x + x = 1.5x 2.5 + 1.5x = 1.5 + -1x + x Combine like terms: -1x + x = 0 2.5 + 1.5x = 1.5 + 0 2.5 + 1.5x = 1.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.5x = 1.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.5x = 1.5 + -2.5 1.5x = 1.5 + -2.5 Combine like terms: 1.5 + -2.5 = -1 1.5x = -1 Divide each side by '1.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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