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Simplifying -11(3 + -5x) = 9(10x + 8) (3 * -11 + -5x * -11) = 9(10x + 8) (-33 + 55x) = 9(10x + 8) Reorder the terms: -33 + 55x = 9(8 + 10x) -33 + 55x = (8 * 9 + 10x * 9) -33 + 55x = (72 + 90x) Solving -33 + 55x = 72 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. -33 + 55x + -90x = 72 + 90x + -90x Combine like terms: 55x + -90x = -35x -33 + -35x = 72 + 90x + -90x Combine like terms: 90x + -90x = 0 -33 + -35x = 72 + 0 -33 + -35x = 72 Add '33' to each side of the equation. -33 + 33 + -35x = 72 + 33 Combine like terms: -33 + 33 = 0 0 + -35x = 72 + 33 -35x = 72 + 33 Combine like terms: 72 + 33 = 105 -35x = 105 Divide each side by '-35'. x = -3 Simplifying x = -3
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