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Simplifying -3(5 + -3x) + 7(-5x + -8) = 33 (5 * -3 + -3x * -3) + 7(-5x + -8) = 33 (-15 + 9x) + 7(-5x + -8) = 33 Reorder the terms: -15 + 9x + 7(-8 + -5x) = 33 -15 + 9x + (-8 * 7 + -5x * 7) = 33 -15 + 9x + (-56 + -35x) = 33 Reorder the terms: -15 + -56 + 9x + -35x = 33 Combine like terms: -15 + -56 = -71 -71 + 9x + -35x = 33 Combine like terms: 9x + -35x = -26x -71 + -26x = 33 Solving -71 + -26x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + -26x = 33 + 71 Combine like terms: -71 + 71 = 0 0 + -26x = 33 + 71 -26x = 33 + 71 Combine like terms: 33 + 71 = 104 -26x = 104 Divide each side by '-26'. x = -4 Simplifying x = -4
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