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Simplifying 8.5x + 100 = 72.25 + 10x Reorder the terms: 100 + 8.5x = 72.25 + 10x Solving 100 + 8.5x = 72.25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 8.5x + -10x = 72.25 + 10x + -10x Combine like terms: 8.5x + -10x = -1.5x 100 + -1.5x = 72.25 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -1.5x = 72.25 + 0 100 + -1.5x = 72.25 Add '-100' to each side of the equation. 100 + -100 + -1.5x = 72.25 + -100 Combine like terms: 100 + -100 = 0 0 + -1.5x = 72.25 + -100 -1.5x = 72.25 + -100 Combine like terms: 72.25 + -100 = -27.75 -1.5x = -27.75 Divide each side by '-1.5'. x = 18.5 Simplifying x = 18.5
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