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Simplifying 2(3x + -1) + 3(4x + -4) = 0 Reorder the terms: 2(-1 + 3x) + 3(4x + -4) = 0 (-1 * 2 + 3x * 2) + 3(4x + -4) = 0 (-2 + 6x) + 3(4x + -4) = 0 Reorder the terms: -2 + 6x + 3(-4 + 4x) = 0 -2 + 6x + (-4 * 3 + 4x * 3) = 0 -2 + 6x + (-12 + 12x) = 0 Reorder the terms: -2 + -12 + 6x + 12x = 0 Combine like terms: -2 + -12 = -14 -14 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x -14 + 18x = 0 Solving -14 + 18x = 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 + 18x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 0 + 14 18x = 0 + 14 Combine like terms: 0 + 14 = 14 18x = 14 Divide each side by '18'. x = 0.7777777778 Simplifying x = 0.7777777778
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