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Simplifying 0.25(x + 10) = 15 + -1x Reorder the terms: 0.25(10 + x) = 15 + -1x (10 * 0.25 + x * 0.25) = 15 + -1x (2.5 + 0.25x) = 15 + -1x Solving 2.5 + 0.25x = 15 + -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. 2.5 + 0.25x + x = 15 + -1x + x Combine like terms: 0.25x + x = 1.25x 2.5 + 1.25x = 15 + -1x + x Combine like terms: -1x + x = 0 2.5 + 1.25x = 15 + 0 2.5 + 1.25x = 15 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.25x = 15 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.25x = 15 + -2.5 1.25x = 15 + -2.5 Combine like terms: 15 + -2.5 = 12.5 1.25x = 12.5 Divide each side by '1.25'. x = 10 Simplifying x = 10
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