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Simplifying 0.5x + 10 = 2x + -5 Reorder the terms: 10 + 0.5x = 2x + -5 Reorder the terms: 10 + 0.5x = -5 + 2x Solving 10 + 0.5x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 0.5x + -2x = -5 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 10 + -1.5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1.5x = -5 + 0 10 + -1.5x = -5 Add '-10' to each side of the equation. 10 + -10 + -1.5x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1.5x = -5 + -10 -1.5x = -5 + -10 Combine like terms: -5 + -10 = -15 -1.5x = -15 Divide each side by '-1.5'. x = 10 Simplifying x = 10
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