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Simplifying 113 + -1(5x + 6) = 5(x + 6) + x Reorder the terms: 113 + -1(6 + 5x) = 5(x + 6) + x 113 + (6 * -1 + 5x * -1) = 5(x + 6) + x 113 + (-6 + -5x) = 5(x + 6) + x Combine like terms: 113 + -6 = 107 107 + -5x = 5(x + 6) + x Reorder the terms: 107 + -5x = 5(6 + x) + x 107 + -5x = (6 * 5 + x * 5) + x 107 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 107 + -5x = 30 + 6x Solving 107 + -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. 107 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 107 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 107 + -11x = 30 + 0 107 + -11x = 30 Add '-107' to each side of the equation. 107 + -107 + -11x = 30 + -107 Combine like terms: 107 + -107 = 0 0 + -11x = 30 + -107 -11x = 30 + -107 Combine like terms: 30 + -107 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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