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Simplifying 3(4x + 6) + 2(7x + -6) = 240 Reorder the terms: 3(6 + 4x) + 2(7x + -6) = 240 (6 * 3 + 4x * 3) + 2(7x + -6) = 240 (18 + 12x) + 2(7x + -6) = 240 Reorder the terms: 18 + 12x + 2(-6 + 7x) = 240 18 + 12x + (-6 * 2 + 7x * 2) = 240 18 + 12x + (-12 + 14x) = 240 Reorder the terms: 18 + -12 + 12x + 14x = 240 Combine like terms: 18 + -12 = 6 6 + 12x + 14x = 240 Combine like terms: 12x + 14x = 26x 6 + 26x = 240 Solving 6 + 26x = 240 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 26x = 240 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 240 + -6 26x = 240 + -6 Combine like terms: 240 + -6 = 234 26x = 234 Divide each side by '26'. x = 9 Simplifying x = 9
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