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Simplifying 2(3x + 1) + -3(x + -4) = 0 Reorder the terms: 2(1 + 3x) + -3(x + -4) = 0 (1 * 2 + 3x * 2) + -3(x + -4) = 0 (2 + 6x) + -3(x + -4) = 0 Reorder the terms: 2 + 6x + -3(-4 + x) = 0 2 + 6x + (-4 * -3 + x * -3) = 0 2 + 6x + (12 + -3x) = 0 Reorder the terms: 2 + 12 + 6x + -3x = 0 Combine like terms: 2 + 12 = 14 14 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 14 + 3x = 0 Solving 14 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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