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Simplifying 5(2x + 4) = 2(x + 6) Reorder the terms: 5(4 + 2x) = 2(x + 6) (4 * 5 + 2x * 5) = 2(x + 6) (20 + 10x) = 2(x + 6) Reorder the terms: 20 + 10x = 2(6 + x) 20 + 10x = (6 * 2 + x * 2) 20 + 10x = (12 + 2x) Solving 20 + 10x = 12 + 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 = 12 + 2x + -2x Combine like terms: 10x + -2x = 8x 20 + 8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 8x = 12 + 0 20 + 8x = 12 Add '-20' to each side of the equation. 20 + -20 + 8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 12 + -20 8x = 12 + -20 Combine like terms: 12 + -20 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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