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