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Simplifying 6(-8x + 3) + 5(x + 3) = 76 Reorder the terms: 6(3 + -8x) + 5(x + 3) = 76 (3 * 6 + -8x * 6) + 5(x + 3) = 76 (18 + -48x) + 5(x + 3) = 76 Reorder the terms: 18 + -48x + 5(3 + x) = 76 18 + -48x + (3 * 5 + x * 5) = 76 18 + -48x + (15 + 5x) = 76 Reorder the terms: 18 + 15 + -48x + 5x = 76 Combine like terms: 18 + 15 = 33 33 + -48x + 5x = 76 Combine like terms: -48x + 5x = -43x 33 + -43x = 76 Solving 33 + -43x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -43x = 76 + -33 Combine like terms: 33 + -33 = 0 0 + -43x = 76 + -33 -43x = 76 + -33 Combine like terms: 76 + -33 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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