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Simplifying 0.5x + 1 = -1x + 10 Reorder the terms: 1 + 0.5x = -1x + 10 Reorder the terms: 1 + 0.5x = 10 + -1x Solving 1 + 0.5x = 10 + -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. 1 + 0.5x + x = 10 + -1x + x Combine like terms: 0.5x + x = 1.5x 1 + 1.5x = 10 + -1x + x Combine like terms: -1x + x = 0 1 + 1.5x = 10 + 0 1 + 1.5x = 10 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 10 + -1 1.5x = 10 + -1 Combine like terms: 10 + -1 = 9 1.5x = 9 Divide each side by '1.5'. x = 6 Simplifying x = 6
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