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Simplifying (2x + -47) + (x + 2) = 180 Reorder the terms: (-47 + 2x) + (x + 2) = 180 Remove parenthesis around (-47 + 2x) -47 + 2x + (x + 2) = 180 Reorder the terms: -47 + 2x + (2 + x) = 180 Remove parenthesis around (2 + x) -47 + 2x + 2 + x = 180 Reorder the terms: -47 + 2 + 2x + x = 180 Combine like terms: -47 + 2 = -45 -45 + 2x + x = 180 Combine like terms: 2x + x = 3x -45 + 3x = 180 Solving -45 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 3x = 180 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 180 + 45 3x = 180 + 45 Combine like terms: 180 + 45 = 225 3x = 225 Divide each side by '3'. x = 75 Simplifying x = 75
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