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Simplifying -0.5x + 10 = 1.5x + -5 Reorder the terms: 10 + -0.5x = 1.5x + -5 Reorder the terms: 10 + -0.5x = -5 + 1.5x Solving 10 + -0.5x = -5 + 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. 10 + -0.5x + -1.5x = -5 + 1.5x + -1.5x Combine like terms: -0.5x + -1.5x = -2x 10 + -2x = -5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 10 + -2x = -5 + 0.0 10 + -2x = -5 Add '-10' to each side of the equation. 10 + -10 + -2x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -5 + -10 -2x = -5 + -10 Combine like terms: -5 + -10 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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