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Simplifying -9(1 + -10x) = -3 + 8(3 + 11x) (1 * -9 + -10x * -9) = -3 + 8(3 + 11x) (-9 + 90x) = -3 + 8(3 + 11x) -9 + 90x = -3 + (3 * 8 + 11x * 8) -9 + 90x = -3 + (24 + 88x) Combine like terms: -3 + 24 = 21 -9 + 90x = 21 + 88x Solving -9 + 90x = 21 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. -9 + 90x + -88x = 21 + 88x + -88x Combine like terms: 90x + -88x = 2x -9 + 2x = 21 + 88x + -88x Combine like terms: 88x + -88x = 0 -9 + 2x = 21 + 0 -9 + 2x = 21 Add '9' to each side of the equation. -9 + 9 + 2x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 21 + 9 2x = 21 + 9 Combine like terms: 21 + 9 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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