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Simplifying (3x + 8) + (5x + -12) = 180 Reorder the terms: (8 + 3x) + (5x + -12) = 180 Remove parenthesis around (8 + 3x) 8 + 3x + (5x + -12) = 180 Reorder the terms: 8 + 3x + (-12 + 5x) = 180 Remove parenthesis around (-12 + 5x) 8 + 3x + -12 + 5x = 180 Reorder the terms: 8 + -12 + 3x + 5x = 180 Combine like terms: 8 + -12 = -4 -4 + 3x + 5x = 180 Combine like terms: 3x + 5x = 8x -4 + 8x = 180 Solving -4 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 180 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 180 + 4 8x = 180 + 4 Combine like terms: 180 + 4 = 184 8x = 184 Divide each side by '8'. x = 23 Simplifying x = 23
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