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Simplifying 8.5(4 + x) = 9.5x + 10 (4 * 8.5 + x * 8.5) = 9.5x + 10 (34 + 8.5x) = 9.5x + 10 Reorder the terms: 34 + 8.5x = 10 + 9.5x Solving 34 + 8.5x = 10 + 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. 34 + 8.5x + -9.5x = 10 + 9.5x + -9.5x Combine like terms: 8.5x + -9.5x = -1x 34 + -1x = 10 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 34 + -1x = 10 + 0.0 34 + -1x = 10 Add '-34' to each side of the equation. 34 + -34 + -1x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 10 + -34 -1x = 10 + -34 Combine like terms: 10 + -34 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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