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Simplifying -5(2x + -9) = (x + -8) + -11 Reorder the terms: -5(-9 + 2x) = (x + -8) + -11 (-9 * -5 + 2x * -5) = (x + -8) + -11 (45 + -10x) = (x + -8) + -11 Reorder the terms: 45 + -10x = (-8 + x) + -11 Remove parenthesis around (-8 + x) 45 + -10x = -8 + x + -11 Reorder the terms: 45 + -10x = -8 + -11 + x Combine like terms: -8 + -11 = -19 45 + -10x = -19 + x Solving 45 + -10x = -19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + -10x + -1x = -19 + x + -1x Combine like terms: -10x + -1x = -11x 45 + -11x = -19 + x + -1x Combine like terms: x + -1x = 0 45 + -11x = -19 + 0 45 + -11x = -19 Add '-45' to each side of the equation. 45 + -45 + -11x = -19 + -45 Combine like terms: 45 + -45 = 0 0 + -11x = -19 + -45 -11x = -19 + -45 Combine like terms: -19 + -45 = -64 -11x = -64 Divide each side by '-11'. x = 5.818181818 Simplifying x = 5.818181818
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