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Simplifying 91 + -1(6x + 11) = 6(x + 9) + x Reorder the terms: 91 + -1(11 + 6x) = 6(x + 9) + x 91 + (11 * -1 + 6x * -1) = 6(x + 9) + x 91 + (-11 + -6x) = 6(x + 9) + x Combine like terms: 91 + -11 = 80 80 + -6x = 6(x + 9) + x Reorder the terms: 80 + -6x = 6(9 + x) + x 80 + -6x = (9 * 6 + x * 6) + x 80 + -6x = (54 + 6x) + x Combine like terms: 6x + x = 7x 80 + -6x = 54 + 7x Solving 80 + -6x = 54 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 80 + -6x + -7x = 54 + 7x + -7x Combine like terms: -6x + -7x = -13x 80 + -13x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 80 + -13x = 54 + 0 80 + -13x = 54 Add '-80' to each side of the equation. 80 + -80 + -13x = 54 + -80 Combine like terms: 80 + -80 = 0 0 + -13x = 54 + -80 -13x = 54 + -80 Combine like terms: 54 + -80 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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