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Simplifying 91 + -1(7x + 5) = 7(x + 8) + x Reorder the terms: 91 + -1(5 + 7x) = 7(x + 8) + x 91 + (5 * -1 + 7x * -1) = 7(x + 8) + x 91 + (-5 + -7x) = 7(x + 8) + x Combine like terms: 91 + -5 = 86 86 + -7x = 7(x + 8) + x Reorder the terms: 86 + -7x = 7(8 + x) + x 86 + -7x = (8 * 7 + x * 7) + x 86 + -7x = (56 + 7x) + x Combine like terms: 7x + x = 8x 86 + -7x = 56 + 8x Solving 86 + -7x = 56 + 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. 86 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x 86 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 86 + -15x = 56 + 0 86 + -15x = 56 Add '-86' to each side of the equation. 86 + -86 + -15x = 56 + -86 Combine like terms: 86 + -86 = 0 0 + -15x = 56 + -86 -15x = 56 + -86 Combine like terms: 56 + -86 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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