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Simplifying 0.5x + 8 = 1.5x + 10 Reorder the terms: 8 + 0.5x = 1.5x + 10 Reorder the terms: 8 + 0.5x = 10 + 1.5x Solving 8 + 0.5x = 10 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 8 + 0.5x + -1.5x = 10 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 8 + -1x = 10 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 8 + -1x = 10 + 0.0 8 + -1x = 10 Add '-8' to each side of the equation. 8 + -8 + -1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 10 + -8 -1x = 10 + -8 Combine like terms: 10 + -8 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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