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Simplifying 2(x + -9) + 6(x + 2) + 4x = 0 Reorder the terms: 2(-9 + x) + 6(x + 2) + 4x = 0 (-9 * 2 + x * 2) + 6(x + 2) + 4x = 0 (-18 + 2x) + 6(x + 2) + 4x = 0 Reorder the terms: -18 + 2x + 6(2 + x) + 4x = 0 -18 + 2x + (2 * 6 + x * 6) + 4x = 0 -18 + 2x + (12 + 6x) + 4x = 0 Reorder the terms: -18 + 12 + 2x + 6x + 4x = 0 Combine like terms: -18 + 12 = -6 -6 + 2x + 6x + 4x = 0 Combine like terms: 2x + 6x = 8x -6 + 8x + 4x = 0 Combine like terms: 8x + 4x = 12x -6 + 12x = 0 Solving -6 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 0 + 6 12x = 0 + 6 Combine like terms: 0 + 6 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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