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Simplifying 91 + -1(5x + 5) = 5(x + 4) + x Reorder the terms: 91 + -1(5 + 5x) = 5(x + 4) + x 91 + (5 * -1 + 5x * -1) = 5(x + 4) + x 91 + (-5 + -5x) = 5(x + 4) + x Combine like terms: 91 + -5 = 86 86 + -5x = 5(x + 4) + x Reorder the terms: 86 + -5x = 5(4 + x) + x 86 + -5x = (4 * 5 + x * 5) + x 86 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 86 + -5x = 20 + 6x Solving 86 + -5x = 20 + 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. 86 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 86 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 86 + -11x = 20 + 0 86 + -11x = 20 Add '-86' to each side of the equation. 86 + -86 + -11x = 20 + -86 Combine like terms: 86 + -86 = 0 0 + -11x = 20 + -86 -11x = 20 + -86 Combine like terms: 20 + -86 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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