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Simplifying 13(-11x + -10) = 26(x + 5) Reorder the terms: 13(-10 + -11x) = 26(x + 5) (-10 * 13 + -11x * 13) = 26(x + 5) (-130 + -143x) = 26(x + 5) Reorder the terms: -130 + -143x = 26(5 + x) -130 + -143x = (5 * 26 + x * 26) -130 + -143x = (130 + 26x) Solving -130 + -143x = 130 + 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. -130 + -143x + -26x = 130 + 26x + -26x Combine like terms: -143x + -26x = -169x -130 + -169x = 130 + 26x + -26x Combine like terms: 26x + -26x = 0 -130 + -169x = 130 + 0 -130 + -169x = 130 Add '130' to each side of the equation. -130 + 130 + -169x = 130 + 130 Combine like terms: -130 + 130 = 0 0 + -169x = 130 + 130 -169x = 130 + 130 Combine like terms: 130 + 130 = 260 -169x = 260 Divide each side by '-169'. x = -1.538461538 Simplifying x = -1.538461538
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