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Simplifying 2(3x + 6) = 4(2x + 4) Reorder the terms: 2(6 + 3x) = 4(2x + 4) (6 * 2 + 3x * 2) = 4(2x + 4) (12 + 6x) = 4(2x + 4) Reorder the terms: 12 + 6x = 4(4 + 2x) 12 + 6x = (4 * 4 + 2x * 4) 12 + 6x = (16 + 8x) Solving 12 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 16 + 0 12 + -2x = 16 Add '-12' to each side of the equation. 12 + -12 + -2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 16 + -12 -2x = 16 + -12 Combine like terms: 16 + -12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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