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Simplifying (38 + -1(5x + 35x)) = 10(38 + -1(5x + 35x)) Combine like terms: 5x + 35x = 40x (38 + -1(40x)) = 10(38 + -1(5x + 35x)) Remove parenthesis around (40x) (38 + -1 * 40x) = 10(38 + -1(5x + 35x)) Multiply -1 * 40 (38 + -40x) = 10(38 + -1(5x + 35x)) Remove parenthesis around (38 + -40x) 38 + -40x = 10(38 + -1(5x + 35x)) Combine like terms: 5x + 35x = 40x 38 + -40x = 10(38 + -1(40x)) Remove parenthesis around (40x) 38 + -40x = 10(38 + -1 * 40x) Multiply -1 * 40 38 + -40x = 10(38 + -40x) 38 + -40x = (38 * 10 + -40x * 10) 38 + -40x = (380 + -400x) Solving 38 + -40x = 380 + -400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '400x' to each side of the equation. 38 + -40x + 400x = 380 + -400x + 400x Combine like terms: -40x + 400x = 360x 38 + 360x = 380 + -400x + 400x Combine like terms: -400x + 400x = 0 38 + 360x = 380 + 0 38 + 360x = 380 Add '-38' to each side of the equation. 38 + -38 + 360x = 380 + -38 Combine like terms: 38 + -38 = 0 0 + 360x = 380 + -38 360x = 380 + -38 Combine like terms: 380 + -38 = 342 360x = 342 Divide each side by '360'. x = 0.95 Simplifying x = 0.95
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