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Simplifying 2(2x + -4) + -3(4x + 1) + 2(x + 3) = 0 Reorder the terms: 2(-4 + 2x) + -3(4x + 1) + 2(x + 3) = 0 (-4 * 2 + 2x * 2) + -3(4x + 1) + 2(x + 3) = 0 (-8 + 4x) + -3(4x + 1) + 2(x + 3) = 0 Reorder the terms: -8 + 4x + -3(1 + 4x) + 2(x + 3) = 0 -8 + 4x + (1 * -3 + 4x * -3) + 2(x + 3) = 0 -8 + 4x + (-3 + -12x) + 2(x + 3) = 0 Reorder the terms: -8 + 4x + -3 + -12x + 2(3 + x) = 0 -8 + 4x + -3 + -12x + (3 * 2 + x * 2) = 0 -8 + 4x + -3 + -12x + (6 + 2x) = 0 Reorder the terms: -8 + -3 + 6 + 4x + -12x + 2x = 0 Combine like terms: -8 + -3 = -11 -11 + 6 + 4x + -12x + 2x = 0 Combine like terms: -11 + 6 = -5 -5 + 4x + -12x + 2x = 0 Combine like terms: 4x + -12x = -8x -5 + -8x + 2x = 0 Combine like terms: -8x + 2x = -6x -5 + -6x = 0 Solving -5 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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