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Simplifying 5(5x + -9) = 13 + -1(x + 6) Reorder the terms: 5(-9 + 5x) = 13 + -1(x + 6) (-9 * 5 + 5x * 5) = 13 + -1(x + 6) (-45 + 25x) = 13 + -1(x + 6) Reorder the terms: -45 + 25x = 13 + -1(6 + x) -45 + 25x = 13 + (6 * -1 + x * -1) -45 + 25x = 13 + (-6 + -1x) Combine like terms: 13 + -6 = 7 -45 + 25x = 7 + -1x Solving -45 + 25x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 25x + x = 7 + -1x + x Combine like terms: 25x + x = 26x -45 + 26x = 7 + -1x + x Combine like terms: -1x + x = 0 -45 + 26x = 7 + 0 -45 + 26x = 7 Add '45' to each side of the equation. -45 + 45 + 26x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 26x = 7 + 45 26x = 7 + 45 Combine like terms: 7 + 45 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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