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Simplifying 110 + -1(5x + 14) = 5(x + 6) + x Reorder the terms: 110 + -1(14 + 5x) = 5(x + 6) + x 110 + (14 * -1 + 5x * -1) = 5(x + 6) + x 110 + (-14 + -5x) = 5(x + 6) + x Combine like terms: 110 + -14 = 96 96 + -5x = 5(x + 6) + x Reorder the terms: 96 + -5x = 5(6 + x) + x 96 + -5x = (6 * 5 + x * 5) + x 96 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 96 + -5x = 30 + 6x Solving 96 + -5x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 96 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 96 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 96 + -11x = 30 + 0 96 + -11x = 30 Add '-96' to each side of the equation. 96 + -96 + -11x = 30 + -96 Combine like terms: 96 + -96 = 0 0 + -11x = 30 + -96 -11x = 30 + -96 Combine like terms: 30 + -96 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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