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Simplifying (10x + -25) + (10x + -13) = 122 Reorder the terms: (-25 + 10x) + (10x + -13) = 122 Remove parenthesis around (-25 + 10x) -25 + 10x + (10x + -13) = 122 Reorder the terms: -25 + 10x + (-13 + 10x) = 122 Remove parenthesis around (-13 + 10x) -25 + 10x + -13 + 10x = 122 Reorder the terms: -25 + -13 + 10x + 10x = 122 Combine like terms: -25 + -13 = -38 -38 + 10x + 10x = 122 Combine like terms: 10x + 10x = 20x -38 + 20x = 122 Solving -38 + 20x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 20x = 122 + 38 Combine like terms: -38 + 38 = 0 0 + 20x = 122 + 38 20x = 122 + 38 Combine like terms: 122 + 38 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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