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Simplifying (5x + -7) + (5x + -7) + (x + 1) + (x + 1) = 360 Reorder the terms: (-7 + 5x) + (5x + -7) + (x + 1) + (x + 1) = 360 Remove parenthesis around (-7 + 5x) -7 + 5x + (5x + -7) + (x + 1) + (x + 1) = 360 Reorder the terms: -7 + 5x + (-7 + 5x) + (x + 1) + (x + 1) = 360 Remove parenthesis around (-7 + 5x) -7 + 5x + -7 + 5x + (x + 1) + (x + 1) = 360 Reorder the terms: -7 + 5x + -7 + 5x + (1 + x) + (x + 1) = 360 Remove parenthesis around (1 + x) -7 + 5x + -7 + 5x + 1 + x + (x + 1) = 360 Reorder the terms: -7 + 5x + -7 + 5x + 1 + x + (1 + x) = 360 Remove parenthesis around (1 + x) -7 + 5x + -7 + 5x + 1 + x + 1 + x = 360 Reorder the terms: -7 + -7 + 1 + 1 + 5x + 5x + x + x = 360 Combine like terms: -7 + -7 = -14 -14 + 1 + 1 + 5x + 5x + x + x = 360 Combine like terms: -14 + 1 = -13 -13 + 1 + 5x + 5x + x + x = 360 Combine like terms: -13 + 1 = -12 -12 + 5x + 5x + x + x = 360 Combine like terms: 5x + 5x = 10x -12 + 10x + x + x = 360 Combine like terms: 10x + x = 11x -12 + 11x + x = 360 Combine like terms: 11x + x = 12x -12 + 12x = 360 Solving -12 + 12x = 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 + 12x = 360 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 360 + 12 12x = 360 + 12 Combine like terms: 360 + 12 = 372 12x = 372 Divide each side by '12'. x = 31 Simplifying x = 31
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