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Simplifying 3(2x + -5) + 6(x + 2) = 0 Reorder the terms: 3(-5 + 2x) + 6(x + 2) = 0 (-5 * 3 + 2x * 3) + 6(x + 2) = 0 (-15 + 6x) + 6(x + 2) = 0 Reorder the terms: -15 + 6x + 6(2 + x) = 0 -15 + 6x + (2 * 6 + x * 6) = 0 -15 + 6x + (12 + 6x) = 0 Reorder the terms: -15 + 12 + 6x + 6x = 0 Combine like terms: -15 + 12 = -3 -3 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -3 + 12x = 0 Solving -3 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 0 + 3 12x = 0 + 3 Combine like terms: 0 + 3 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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