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Simplifying 7(6 + -2x) + -3(4x + 1) = 0 (6 * 7 + -2x * 7) + -3(4x + 1) = 0 (42 + -14x) + -3(4x + 1) = 0 Reorder the terms: 42 + -14x + -3(1 + 4x) = 0 42 + -14x + (1 * -3 + 4x * -3) = 0 42 + -14x + (-3 + -12x) = 0 Reorder the terms: 42 + -3 + -14x + -12x = 0 Combine like terms: 42 + -3 = 39 39 + -14x + -12x = 0 Combine like terms: -14x + -12x = -26x 39 + -26x = 0 Solving 39 + -26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -26x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -26x = 0 + -39 -26x = 0 + -39 Combine like terms: 0 + -39 = -39 -26x = -39 Divide each side by '-26'. x = 1.5 Simplifying x = 1.5
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