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Simplifying 3(8 + -6x) + -5(10 + -11x) = 233 (8 * 3 + -6x * 3) + -5(10 + -11x) = 233 (24 + -18x) + -5(10 + -11x) = 233 24 + -18x + (10 * -5 + -11x * -5) = 233 24 + -18x + (-50 + 55x) = 233 Reorder the terms: 24 + -50 + -18x + 55x = 233 Combine like terms: 24 + -50 = -26 -26 + -18x + 55x = 233 Combine like terms: -18x + 55x = 37x -26 + 37x = 233 Solving -26 + 37x = 233 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 37x = 233 + 26 Combine like terms: -26 + 26 = 0 0 + 37x = 233 + 26 37x = 233 + 26 Combine like terms: 233 + 26 = 259 37x = 259 Divide each side by '37'. x = 7 Simplifying x = 7
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