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Simplifying 25x + 5(x + 5) + 10(x + 9) = 10 Reorder the terms: 25x + 5(5 + x) + 10(x + 9) = 10 25x + (5 * 5 + x * 5) + 10(x + 9) = 10 25x + (25 + 5x) + 10(x + 9) = 10 Reorder the terms: 25x + 25 + 5x + 10(9 + x) = 10 25x + 25 + 5x + (9 * 10 + x * 10) = 10 25x + 25 + 5x + (90 + 10x) = 10 Reorder the terms: 25 + 90 + 25x + 5x + 10x = 10 Combine like terms: 25 + 90 = 115 115 + 25x + 5x + 10x = 10 Combine like terms: 25x + 5x = 30x 115 + 30x + 10x = 10 Combine like terms: 30x + 10x = 40x 115 + 40x = 10 Solving 115 + 40x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + 40x = 10 + -115 Combine like terms: 115 + -115 = 0 0 + 40x = 10 + -115 40x = 10 + -115 Combine like terms: 10 + -115 = -105 40x = -105 Divide each side by '40'. x = -2.625 Simplifying x = -2.625
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