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Simplifying 9(8 + -5x) + -1(3x + 1) = -8(7x + -13) + -5(11 + -6x) (8 * 9 + -5x * 9) + -1(3x + 1) = -8(7x + -13) + -5(11 + -6x) (72 + -45x) + -1(3x + 1) = -8(7x + -13) + -5(11 + -6x) Reorder the terms: 72 + -45x + -1(1 + 3x) = -8(7x + -13) + -5(11 + -6x) 72 + -45x + (1 * -1 + 3x * -1) = -8(7x + -13) + -5(11 + -6x) 72 + -45x + (-1 + -3x) = -8(7x + -13) + -5(11 + -6x) Reorder the terms: 72 + -1 + -45x + -3x = -8(7x + -13) + -5(11 + -6x) Combine like terms: 72 + -1 = 71 71 + -45x + -3x = -8(7x + -13) + -5(11 + -6x) Combine like terms: -45x + -3x = -48x 71 + -48x = -8(7x + -13) + -5(11 + -6x) Reorder the terms: 71 + -48x = -8(-13 + 7x) + -5(11 + -6x) 71 + -48x = (-13 * -8 + 7x * -8) + -5(11 + -6x) 71 + -48x = (104 + -56x) + -5(11 + -6x) 71 + -48x = 104 + -56x + (11 * -5 + -6x * -5) 71 + -48x = 104 + -56x + (-55 + 30x) Reorder the terms: 71 + -48x = 104 + -55 + -56x + 30x Combine like terms: 104 + -55 = 49 71 + -48x = 49 + -56x + 30x Combine like terms: -56x + 30x = -26x 71 + -48x = 49 + -26x Solving 71 + -48x = 49 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 71 + -48x + 26x = 49 + -26x + 26x Combine like terms: -48x + 26x = -22x 71 + -22x = 49 + -26x + 26x Combine like terms: -26x + 26x = 0 71 + -22x = 49 + 0 71 + -22x = 49 Add '-71' to each side of the equation. 71 + -71 + -22x = 49 + -71 Combine like terms: 71 + -71 = 0 0 + -22x = 49 + -71 -22x = 49 + -71 Combine like terms: 49 + -71 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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