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Simplifying -2(x + 4) = 5(2x + -4) Reorder the terms: -2(4 + x) = 5(2x + -4) (4 * -2 + x * -2) = 5(2x + -4) (-8 + -2x) = 5(2x + -4) Reorder the terms: -8 + -2x = 5(-4 + 2x) -8 + -2x = (-4 * 5 + 2x * 5) -8 + -2x = (-20 + 10x) Solving -8 + -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. -8 + -2x + -10x = -20 + 10x + -10x Combine like terms: -2x + -10x = -12x -8 + -12x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -12x = -20 + 0 -8 + -12x = -20 Add '8' to each side of the equation. -8 + 8 + -12x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -20 + 8 -12x = -20 + 8 Combine like terms: -20 + 8 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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