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Simplifying (20x + -11) + (4x + 6) + (7x + -7) = 360 Reorder the terms: (-11 + 20x) + (4x + 6) + (7x + -7) = 360 Remove parenthesis around (-11 + 20x) -11 + 20x + (4x + 6) + (7x + -7) = 360 Reorder the terms: -11 + 20x + (6 + 4x) + (7x + -7) = 360 Remove parenthesis around (6 + 4x) -11 + 20x + 6 + 4x + (7x + -7) = 360 Reorder the terms: -11 + 20x + 6 + 4x + (-7 + 7x) = 360 Remove parenthesis around (-7 + 7x) -11 + 20x + 6 + 4x + -7 + 7x = 360 Reorder the terms: -11 + 6 + -7 + 20x + 4x + 7x = 360 Combine like terms: -11 + 6 = -5 -5 + -7 + 20x + 4x + 7x = 360 Combine like terms: -5 + -7 = -12 -12 + 20x + 4x + 7x = 360 Combine like terms: 20x + 4x = 24x -12 + 24x + 7x = 360 Combine like terms: 24x + 7x = 31x -12 + 31x = 360 Solving -12 + 31x = 360 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 + 31x = 360 + 12 Combine like terms: -12 + 12 = 0 0 + 31x = 360 + 12 31x = 360 + 12 Combine like terms: 360 + 12 = 372 31x = 372 Divide each side by '31'. x = 12 Simplifying x = 12
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