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Simplifying 40 + (65x + -55) = 30 + -1(45x + -20) + 10 Reorder the terms: 40 + (-55 + 65x) = 30 + -1(45x + -20) + 10 Remove parenthesis around (-55 + 65x) 40 + -55 + 65x = 30 + -1(45x + -20) + 10 Combine like terms: 40 + -55 = -15 -15 + 65x = 30 + -1(45x + -20) + 10 Reorder the terms: -15 + 65x = 30 + -1(-20 + 45x) + 10 -15 + 65x = 30 + (-20 * -1 + 45x * -1) + 10 -15 + 65x = 30 + (20 + -45x) + 10 Reorder the terms: -15 + 65x = 30 + 20 + 10 + -45x Combine like terms: 30 + 20 = 50 -15 + 65x = 50 + 10 + -45x Combine like terms: 50 + 10 = 60 -15 + 65x = 60 + -45x Solving -15 + 65x = 60 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -15 + 65x + 45x = 60 + -45x + 45x Combine like terms: 65x + 45x = 110x -15 + 110x = 60 + -45x + 45x Combine like terms: -45x + 45x = 0 -15 + 110x = 60 + 0 -15 + 110x = 60 Add '15' to each side of the equation. -15 + 15 + 110x = 60 + 15 Combine like terms: -15 + 15 = 0 0 + 110x = 60 + 15 110x = 60 + 15 Combine like terms: 60 + 15 = 75 110x = 75 Divide each side by '110'. x = 0.6818181818 Simplifying x = 0.6818181818
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