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Simplifying 2x + 4 = 5(-4 + -2x) Reorder the terms: 4 + 2x = 5(-4 + -2x) 4 + 2x = (-4 * 5 + -2x * 5) 4 + 2x = (-20 + -10x) Solving 4 + 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. 4 + 2x + 10x = -20 + -10x + 10x Combine like terms: 2x + 10x = 12x 4 + 12x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 12x = -20 + 0 4 + 12x = -20 Add '-4' to each side of the equation. 4 + -4 + 12x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = -20 + -4 12x = -20 + -4 Combine like terms: -20 + -4 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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