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