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Simplifying 10(5 + 3x) + -11(9 + 8x) = 515 (5 * 10 + 3x * 10) + -11(9 + 8x) = 515 (50 + 30x) + -11(9 + 8x) = 515 50 + 30x + (9 * -11 + 8x * -11) = 515 50 + 30x + (-99 + -88x) = 515 Reorder the terms: 50 + -99 + 30x + -88x = 515 Combine like terms: 50 + -99 = -49 -49 + 30x + -88x = 515 Combine like terms: 30x + -88x = -58x -49 + -58x = 515 Solving -49 + -58x = 515 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -58x = 515 + 49 Combine like terms: -49 + 49 = 0 0 + -58x = 515 + 49 -58x = 515 + 49 Combine like terms: 515 + 49 = 564 -58x = 564 Divide each side by '-58'. x = -9.724137931 Simplifying x = -9.724137931
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