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Simplifying 2(x + -3) + 5(2x + 4) = 0 Reorder the terms: 2(-3 + x) + 5(2x + 4) = 0 (-3 * 2 + x * 2) + 5(2x + 4) = 0 (-6 + 2x) + 5(2x + 4) = 0 Reorder the terms: -6 + 2x + 5(4 + 2x) = 0 -6 + 2x + (4 * 5 + 2x * 5) = 0 -6 + 2x + (20 + 10x) = 0 Reorder the terms: -6 + 20 + 2x + 10x = 0 Combine like terms: -6 + 20 = 14 14 + 2x + 10x = 0 Combine like terms: 2x + 10x = 12x 14 + 12x = 0 Solving 14 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 0 + -14 12x = 0 + -14 Combine like terms: 0 + -14 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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