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Simplifying (3x + -5) + (7x + -3) = 52 Reorder the terms: (-5 + 3x) + (7x + -3) = 52 Remove parenthesis around (-5 + 3x) -5 + 3x + (7x + -3) = 52 Reorder the terms: -5 + 3x + (-3 + 7x) = 52 Remove parenthesis around (-3 + 7x) -5 + 3x + -3 + 7x = 52 Reorder the terms: -5 + -3 + 3x + 7x = 52 Combine like terms: -5 + -3 = -8 -8 + 3x + 7x = 52 Combine like terms: 3x + 7x = 10x -8 + 10x = 52 Solving -8 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10x = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 52 + 8 10x = 52 + 8 Combine like terms: 52 + 8 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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