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