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Simplifying 5(x + 9) + 5(-6x + -1) = -26(x + -1) Reorder the terms: 5(9 + x) + 5(-6x + -1) = -26(x + -1) (9 * 5 + x * 5) + 5(-6x + -1) = -26(x + -1) (45 + 5x) + 5(-6x + -1) = -26(x + -1) Reorder the terms: 45 + 5x + 5(-1 + -6x) = -26(x + -1) 45 + 5x + (-1 * 5 + -6x * 5) = -26(x + -1) 45 + 5x + (-5 + -30x) = -26(x + -1) Reorder the terms: 45 + -5 + 5x + -30x = -26(x + -1) Combine like terms: 45 + -5 = 40 40 + 5x + -30x = -26(x + -1) Combine like terms: 5x + -30x = -25x 40 + -25x = -26(x + -1) Reorder the terms: 40 + -25x = -26(-1 + x) 40 + -25x = (-1 * -26 + x * -26) 40 + -25x = (26 + -26x) Solving 40 + -25x = 26 + -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. 40 + -25x + 26x = 26 + -26x + 26x Combine like terms: -25x + 26x = 1x 40 + 1x = 26 + -26x + 26x Combine like terms: -26x + 26x = 0 40 + 1x = 26 + 0 40 + 1x = 26 Add '-40' to each side of the equation. 40 + -40 + 1x = 26 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 26 + -40 1x = 26 + -40 Combine like terms: 26 + -40 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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