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Simplifying 2(6 + -4x) + 13(12 + 12x) = 760 (6 * 2 + -4x * 2) + 13(12 + 12x) = 760 (12 + -8x) + 13(12 + 12x) = 760 12 + -8x + (12 * 13 + 12x * 13) = 760 12 + -8x + (156 + 156x) = 760 Reorder the terms: 12 + 156 + -8x + 156x = 760 Combine like terms: 12 + 156 = 168 168 + -8x + 156x = 760 Combine like terms: -8x + 156x = 148x 168 + 148x = 760 Solving 168 + 148x = 760 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + 148x = 760 + -168 Combine like terms: 168 + -168 = 0 0 + 148x = 760 + -168 148x = 760 + -168 Combine like terms: 760 + -168 = 592 148x = 592 Divide each side by '148'. x = 4 Simplifying x = 4
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