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Simplifying 5(x + -9) + -6(5x + 4) = -26(x + 3) + -7 Reorder the terms: 5(-9 + x) + -6(5x + 4) = -26(x + 3) + -7 (-9 * 5 + x * 5) + -6(5x + 4) = -26(x + 3) + -7 (-45 + 5x) + -6(5x + 4) = -26(x + 3) + -7 Reorder the terms: -45 + 5x + -6(4 + 5x) = -26(x + 3) + -7 -45 + 5x + (4 * -6 + 5x * -6) = -26(x + 3) + -7 -45 + 5x + (-24 + -30x) = -26(x + 3) + -7 Reorder the terms: -45 + -24 + 5x + -30x = -26(x + 3) + -7 Combine like terms: -45 + -24 = -69 -69 + 5x + -30x = -26(x + 3) + -7 Combine like terms: 5x + -30x = -25x -69 + -25x = -26(x + 3) + -7 Reorder the terms: -69 + -25x = -26(3 + x) + -7 -69 + -25x = (3 * -26 + x * -26) + -7 -69 + -25x = (-78 + -26x) + -7 Reorder the terms: -69 + -25x = -78 + -7 + -26x Combine like terms: -78 + -7 = -85 -69 + -25x = -85 + -26x Solving -69 + -25x = -85 + -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. -69 + -25x + 26x = -85 + -26x + 26x Combine like terms: -25x + 26x = 1x -69 + 1x = -85 + -26x + 26x Combine like terms: -26x + 26x = 0 -69 + 1x = -85 + 0 -69 + 1x = -85 Add '69' to each side of the equation. -69 + 69 + 1x = -85 + 69 Combine like terms: -69 + 69 = 0 0 + 1x = -85 + 69 1x = -85 + 69 Combine like terms: -85 + 69 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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