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Simplifying -0.5x + 80 = x + -40 Reorder the terms: 80 + -0.5x = x + -40 Reorder the terms: 80 + -0.5x = -40 + x Solving 80 + -0.5x = -40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 80 + -0.5x + -1x = -40 + x + -1x Combine like terms: -0.5x + -1x = -1.5x 80 + -1.5x = -40 + x + -1x Combine like terms: x + -1x = 0 80 + -1.5x = -40 + 0 80 + -1.5x = -40 Add '-80' to each side of the equation. 80 + -80 + -1.5x = -40 + -80 Combine like terms: 80 + -80 = 0 0 + -1.5x = -40 + -80 -1.5x = -40 + -80 Combine like terms: -40 + -80 = -120 -1.5x = -120 Divide each side by '-1.5'. x = 80 Simplifying x = 80
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