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Simplifying 50 + -1x = 0.5x + -10 Reorder the terms: 50 + -1x = -10 + 0.5x Solving 50 + -1x = -10 + 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. 50 + -1x + -0.5x = -10 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 50 + -1.5x = -10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 50 + -1.5x = -10 + 0.0 50 + -1.5x = -10 Add '-50' to each side of the equation. 50 + -50 + -1.5x = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -1.5x = -10 + -50 -1.5x = -10 + -50 Combine like terms: -10 + -50 = -60 -1.5x = -60 Divide each side by '-1.5'. x = 40 Simplifying x = 40
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