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Simplifying (13x + -6) + -1(5x + 14) = 108 Reorder the terms: (-6 + 13x) + -1(5x + 14) = 108 Remove parenthesis around (-6 + 13x) -6 + 13x + -1(5x + 14) = 108 Reorder the terms: -6 + 13x + -1(14 + 5x) = 108 -6 + 13x + (14 * -1 + 5x * -1) = 108 -6 + 13x + (-14 + -5x) = 108 Reorder the terms: -6 + -14 + 13x + -5x = 108 Combine like terms: -6 + -14 = -20 -20 + 13x + -5x = 108 Combine like terms: 13x + -5x = 8x -20 + 8x = 108 Solving -20 + 8x = 108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8x = 108 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 108 + 20 8x = 108 + 20 Combine like terms: 108 + 20 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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