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Simplifying (2x + -10) + (4x + -12) + (2x + 10) = 180 Reorder the terms: (-10 + 2x) + (4x + -12) + (2x + 10) = 180 Remove parenthesis around (-10 + 2x) -10 + 2x + (4x + -12) + (2x + 10) = 180 Reorder the terms: -10 + 2x + (-12 + 4x) + (2x + 10) = 180 Remove parenthesis around (-12 + 4x) -10 + 2x + -12 + 4x + (2x + 10) = 180 Reorder the terms: -10 + 2x + -12 + 4x + (10 + 2x) = 180 Remove parenthesis around (10 + 2x) -10 + 2x + -12 + 4x + 10 + 2x = 180 Reorder the terms: -10 + -12 + 10 + 2x + 4x + 2x = 180 Combine like terms: -10 + -12 = -22 -22 + 10 + 2x + 4x + 2x = 180 Combine like terms: -22 + 10 = -12 -12 + 2x + 4x + 2x = 180 Combine like terms: 2x + 4x = 6x -12 + 6x + 2x = 180 Combine like terms: 6x + 2x = 8x -12 + 8x = 180 Solving -12 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 180 + 12 8x = 180 + 12 Combine like terms: 180 + 12 = 192 8x = 192 Divide each side by '8'. x = 24 Simplifying x = 24
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