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Simplifying 6(2x + 4) + -4 = 2(x + 5) Reorder the terms: 6(4 + 2x) + -4 = 2(x + 5) (4 * 6 + 2x * 6) + -4 = 2(x + 5) (24 + 12x) + -4 = 2(x + 5) Reorder the terms: 24 + -4 + 12x = 2(x + 5) Combine like terms: 24 + -4 = 20 20 + 12x = 2(x + 5) Reorder the terms: 20 + 12x = 2(5 + x) 20 + 12x = (5 * 2 + x * 2) 20 + 12x = (10 + 2x) Solving 20 + 12x = 10 + 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 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x 20 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 10x = 10 + 0 20 + 10x = 10 Add '-20' to each side of the equation. 20 + -20 + 10x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 10 + -20 10x = 10 + -20 Combine like terms: 10 + -20 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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