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Simplifying 91 = 7x + 7(2x + -11) Reorder the terms: 91 = 7x + 7(-11 + 2x) 91 = 7x + (-11 * 7 + 2x * 7) 91 = 7x + (-77 + 14x) Reorder the terms: 91 = -77 + 7x + 14x Combine like terms: 7x + 14x = 21x 91 = -77 + 21x Solving 91 = -77 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 91 + -21x = -77 + 21x + -21x Combine like terms: 21x + -21x = 0 91 + -21x = -77 + 0 91 + -21x = -77 Add '-91' to each side of the equation. 91 + -91 + -21x = -77 + -91 Combine like terms: 91 + -91 = 0 0 + -21x = -77 + -91 -21x = -77 + -91 Combine like terms: -77 + -91 = -168 -21x = -168 Divide each side by '-21'. x = 8 Simplifying x = 8
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