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Simplifying 2 + 3(2x + -4) + -3(4x + 2) + -6 = 0 Reorder the terms: 2 + 3(-4 + 2x) + -3(4x + 2) + -6 = 0 2 + (-4 * 3 + 2x * 3) + -3(4x + 2) + -6 = 0 2 + (-12 + 6x) + -3(4x + 2) + -6 = 0 Reorder the terms: 2 + -12 + 6x + -3(2 + 4x) + -6 = 0 2 + -12 + 6x + (2 * -3 + 4x * -3) + -6 = 0 2 + -12 + 6x + (-6 + -12x) + -6 = 0 Reorder the terms: 2 + -12 + -6 + -6 + 6x + -12x = 0 Combine like terms: 2 + -12 = -10 -10 + -6 + -6 + 6x + -12x = 0 Combine like terms: -10 + -6 = -16 -16 + -6 + 6x + -12x = 0 Combine like terms: -16 + -6 = -22 -22 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -22 + -6x = 0 Solving -22 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = 0 + 22 -6x = 0 + 22 Combine like terms: 0 + 22 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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