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Simplifying 40 + -1x = 0.5x + 10 Reorder the terms: 40 + -1x = 10 + 0.5x Solving 40 + -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. 40 + -1x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 40 + -1.5x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 40 + -1.5x = 10 + 0.0 40 + -1.5x = 10 Add '-40' to each side of the equation. 40 + -40 + -1.5x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -1.5x = 10 + -40 -1.5x = 10 + -40 Combine like terms: 10 + -40 = -30 -1.5x = -30 Divide each side by '-1.5'. x = 20 Simplifying x = 20
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