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Simplifying 2(3x + 6x + -2) + -4(6x + 5 + -1x) = 0 Reorder the terms: 2(-2 + 3x + 6x) + -4(6x + 5 + -1x) = 0 Combine like terms: 3x + 6x = 9x 2(-2 + 9x) + -4(6x + 5 + -1x) = 0 (-2 * 2 + 9x * 2) + -4(6x + 5 + -1x) = 0 (-4 + 18x) + -4(6x + 5 + -1x) = 0 Reorder the terms: -4 + 18x + -4(5 + 6x + -1x) = 0 Combine like terms: 6x + -1x = 5x -4 + 18x + -4(5 + 5x) = 0 -4 + 18x + (5 * -4 + 5x * -4) = 0 -4 + 18x + (-20 + -20x) = 0 Reorder the terms: -4 + -20 + 18x + -20x = 0 Combine like terms: -4 + -20 = -24 -24 + 18x + -20x = 0 Combine like terms: 18x + -20x = -2x -24 + -2x = 0 Solving -24 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 0 + 24 -2x = 0 + 24 Combine like terms: 0 + 24 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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