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Simplifying 2(3x + 4) + 6(x + -5) = 0 Reorder the terms: 2(4 + 3x) + 6(x + -5) = 0 (4 * 2 + 3x * 2) + 6(x + -5) = 0 (8 + 6x) + 6(x + -5) = 0 Reorder the terms: 8 + 6x + 6(-5 + x) = 0 8 + 6x + (-5 * 6 + x * 6) = 0 8 + 6x + (-30 + 6x) = 0 Reorder the terms: 8 + -30 + 6x + 6x = 0 Combine like terms: 8 + -30 = -22 -22 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -22 + 12x = 0 Solving -22 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 0 + 22 12x = 0 + 22 Combine like terms: 0 + 22 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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