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