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Simplifying 0.5x + 10 + x + -40 = 90 Reorder the terms: 10 + -40 + 0.5x + x = 90 Combine like terms: 10 + -40 = -30 -30 + 0.5x + x = 90 Combine like terms: 0.5x + x = 1.5x -30 + 1.5x = 90 Solving -30 + 1.5x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1.5x = 90 + 30 Combine like terms: -30 + 30 = 0 0 + 1.5x = 90 + 30 1.5x = 90 + 30 Combine like terms: 90 + 30 = 120 1.5x = 120 Divide each side by '1.5'. x = 80 Simplifying x = 80
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