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Simplifying 8.5x + 15 = 9.5x + 5 Reorder the terms: 15 + 8.5x = 9.5x + 5 Reorder the terms: 15 + 8.5x = 5 + 9.5x Solving 15 + 8.5x = 5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 15 + 8.5x + -9.5x = 5 + 9.5x + -9.5x Combine like terms: 8.5x + -9.5x = -1x 15 + -1x = 5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 15 + -1x = 5 + 0.0 15 + -1x = 5 Add '-15' to each side of the equation. 15 + -15 + -1x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 5 + -15 -1x = 5 + -15 Combine like terms: 5 + -15 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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