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Simplifying 0.5x + 4 + -1x = 2.5 + x Reorder the terms: 4 + 0.5x + -1x = 2.5 + x Combine like terms: 0.5x + -1x = -0.5x 4 + -0.5x = 2.5 + x Solving 4 + -0.5x = 2.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -0.5x + -1x = 2.5 + x + -1x Combine like terms: -0.5x + -1x = -1.5x 4 + -1.5x = 2.5 + x + -1x Combine like terms: x + -1x = 0 4 + -1.5x = 2.5 + 0 4 + -1.5x = 2.5 Add '-4' to each side of the equation. 4 + -4 + -1.5x = 2.5 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x = 2.5 + -4 -1.5x = 2.5 + -4 Combine like terms: 2.5 + -4 = -1.5 -1.5x = -1.5 Divide each side by '-1.5'. x = 1 Simplifying x = 1
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