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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 = 10 10 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 10 + 3x = 0 Solving 10 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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