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Simplifying (2x + -2) + (4x + -14) + (x + 12) = 108 Reorder the terms: (-2 + 2x) + (4x + -14) + (x + 12) = 108 Remove parenthesis around (-2 + 2x) -2 + 2x + (4x + -14) + (x + 12) = 108 Reorder the terms: -2 + 2x + (-14 + 4x) + (x + 12) = 108 Remove parenthesis around (-14 + 4x) -2 + 2x + -14 + 4x + (x + 12) = 108 Reorder the terms: -2 + 2x + -14 + 4x + (12 + x) = 108 Remove parenthesis around (12 + x) -2 + 2x + -14 + 4x + 12 + x = 108 Reorder the terms: -2 + -14 + 12 + 2x + 4x + x = 108 Combine like terms: -2 + -14 = -16 -16 + 12 + 2x + 4x + x = 108 Combine like terms: -16 + 12 = -4 -4 + 2x + 4x + x = 108 Combine like terms: 2x + 4x = 6x -4 + 6x + x = 108 Combine like terms: 6x + x = 7x -4 + 7x = 108 Solving -4 + 7x = 108 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 + 7x = 108 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 108 + 4 7x = 108 + 4 Combine like terms: 108 + 4 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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