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Simplifying 10(15 + 3x) + -11(9 + 8x) = 515 (15 * 10 + 3x * 10) + -11(9 + 8x) = 515 (150 + 30x) + -11(9 + 8x) = 515 150 + 30x + (9 * -11 + 8x * -11) = 515 150 + 30x + (-99 + -88x) = 515 Reorder the terms: 150 + -99 + 30x + -88x = 515 Combine like terms: 150 + -99 = 51 51 + 30x + -88x = 515 Combine like terms: 30x + -88x = -58x 51 + -58x = 515 Solving 51 + -58x = 515 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -58x = 515 + -51 Combine like terms: 51 + -51 = 0 0 + -58x = 515 + -51 -58x = 515 + -51 Combine like terms: 515 + -51 = 464 -58x = 464 Divide each side by '-58'. x = -8 Simplifying x = -8
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