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