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Simplifying 6(4x + 2) + 7(-5x + 3) = 66 Reorder the terms: 6(2 + 4x) + 7(-5x + 3) = 66 (2 * 6 + 4x * 6) + 7(-5x + 3) = 66 (12 + 24x) + 7(-5x + 3) = 66 Reorder the terms: 12 + 24x + 7(3 + -5x) = 66 12 + 24x + (3 * 7 + -5x * 7) = 66 12 + 24x + (21 + -35x) = 66 Reorder the terms: 12 + 21 + 24x + -35x = 66 Combine like terms: 12 + 21 = 33 33 + 24x + -35x = 66 Combine like terms: 24x + -35x = -11x 33 + -11x = 66 Solving 33 + -11x = 66 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 + -11x = 66 + -33 Combine like terms: 33 + -33 = 0 0 + -11x = 66 + -33 -11x = 66 + -33 Combine like terms: 66 + -33 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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