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Simplifying 5(2x + -4) + 2(x + 3) = 0 Reorder the terms: 5(-4 + 2x) + 2(x + 3) = 0 (-4 * 5 + 2x * 5) + 2(x + 3) = 0 (-20 + 10x) + 2(x + 3) = 0 Reorder the terms: -20 + 10x + 2(3 + x) = 0 -20 + 10x + (3 * 2 + x * 2) = 0 -20 + 10x + (6 + 2x) = 0 Reorder the terms: -20 + 6 + 10x + 2x = 0 Combine like terms: -20 + 6 = -14 -14 + 10x + 2x = 0 Combine like terms: 10x + 2x = 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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