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Simplifying 0.5x + 10 = 90 + -1x Reorder the terms: 10 + 0.5x = 90 + -1x Solving 10 + 0.5x = 90 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 0.5x + x = 90 + -1x + x Combine like terms: 0.5x + x = 1.5x 10 + 1.5x = 90 + -1x + x Combine like terms: -1x + x = 0 10 + 1.5x = 90 + 0 10 + 1.5x = 90 Add '-10' to each side of the equation. 10 + -10 + 1.5x = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 1.5x = 90 + -10 1.5x = 90 + -10 Combine like terms: 90 + -10 = 80 1.5x = 80 Divide each side by '1.5'. x = 53.33333333 Simplifying x = 53.33333333
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