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Simplifying -1x + 5 = 0.5x + 1 Reorder the terms: 5 + -1x = 0.5x + 1 Reorder the terms: 5 + -1x = 1 + 0.5x Solving 5 + -1x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + -1x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 5 + -1.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + -1.5x = 1 + 0.0 5 + -1.5x = 1 Add '-5' to each side of the equation. 5 + -5 + -1.5x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = 1 + -5 -1.5x = 1 + -5 Combine like terms: 1 + -5 = -4 -1.5x = -4 Divide each side by '-1.5'. x = 2.666666667 Simplifying x = 2.666666667
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