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Simplifying 10 + -1(0.25x + 0.10) = 49 + -1(25x + 10x) Reorder the terms: 10 + -1(0.10 + 0.25x) = 49 + -1(25x + 10x) 10 + (0.10 * -1 + 0.25x * -1) = 49 + -1(25x + 10x) 10 + (-0.1 + -0.25x) = 49 + -1(25x + 10x) Combine like terms: 10 + -0.1 = 9.9 9.9 + -0.25x = 49 + -1(25x + 10x) Combine like terms: 25x + 10x = 35x 9.9 + -0.25x = 49 + -1(35x) Remove parenthesis around (35x) 9.9 + -0.25x = 49 + -1 * 35x Multiply -1 * 35 9.9 + -0.25x = 49 + -35x Solving 9.9 + -0.25x = 49 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 9.9 + -0.25x + 35x = 49 + -35x + 35x Combine like terms: -0.25x + 35x = 34.75x 9.9 + 34.75x = 49 + -35x + 35x Combine like terms: -35x + 35x = 0 9.9 + 34.75x = 49 + 0 9.9 + 34.75x = 49 Add '-9.9' to each side of the equation. 9.9 + -9.9 + 34.75x = 49 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + 34.75x = 49 + -9.9 34.75x = 49 + -9.9 Combine like terms: 49 + -9.9 = 39.1 34.75x = 39.1 Divide each side by '34.75'. x = 1.125179856 Simplifying x = 1.125179856
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