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Simplifying (13x + -10) + (7x + -10) = 150 Reorder the terms: (-10 + 13x) + (7x + -10) = 150 Remove parenthesis around (-10 + 13x) -10 + 13x + (7x + -10) = 150 Reorder the terms: -10 + 13x + (-10 + 7x) = 150 Remove parenthesis around (-10 + 7x) -10 + 13x + -10 + 7x = 150 Reorder the terms: -10 + -10 + 13x + 7x = 150 Combine like terms: -10 + -10 = -20 -20 + 13x + 7x = 150 Combine like terms: 13x + 7x = 20x -20 + 20x = 150 Solving -20 + 20x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 20x = 150 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = 150 + 20 20x = 150 + 20 Combine like terms: 150 + 20 = 170 20x = 170 Divide each side by '20'. x = 8.5 Simplifying x = 8.5
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