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Simplifying 5(x + 9) + 5(-6x + -1) = -26(x + -1) * 3 Reorder the terms: 5(9 + x) + 5(-6x + -1) = -26(x + -1) * 3 (9 * 5 + x * 5) + 5(-6x + -1) = -26(x + -1) * 3 (45 + 5x) + 5(-6x + -1) = -26(x + -1) * 3 Reorder the terms: 45 + 5x + 5(-1 + -6x) = -26(x + -1) * 3 45 + 5x + (-1 * 5 + -6x * 5) = -26(x + -1) * 3 45 + 5x + (-5 + -30x) = -26(x + -1) * 3 Reorder the terms: 45 + -5 + 5x + -30x = -26(x + -1) * 3 Combine like terms: 45 + -5 = 40 40 + 5x + -30x = -26(x + -1) * 3 Combine like terms: 5x + -30x = -25x 40 + -25x = -26(x + -1) * 3 Reorder the terms: 40 + -25x = -26(-1 + x) * 3 Reorder the terms for easier multiplication: 40 + -25x = -26 * 3(-1 + x) Multiply -26 * 3 40 + -25x = -78(-1 + x) 40 + -25x = (-1 * -78 + x * -78) 40 + -25x = (78 + -78x) Solving 40 + -25x = 78 + -78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78x' to each side of the equation. 40 + -25x + 78x = 78 + -78x + 78x Combine like terms: -25x + 78x = 53x 40 + 53x = 78 + -78x + 78x Combine like terms: -78x + 78x = 0 40 + 53x = 78 + 0 40 + 53x = 78 Add '-40' to each side of the equation. 40 + -40 + 53x = 78 + -40 Combine like terms: 40 + -40 = 0 0 + 53x = 78 + -40 53x = 78 + -40 Combine like terms: 78 + -40 = 38 53x = 38 Divide each side by '53'. x = 0.7169811321 Simplifying x = 0.7169811321
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