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Simplifying 2(x + 3) = 4(2x + 4) Reorder the terms: 2(3 + x) = 4(2x + 4) (3 * 2 + x * 2) = 4(2x + 4) (6 + 2x) = 4(2x + 4) Reorder the terms: 6 + 2x = 4(4 + 2x) 6 + 2x = (4 * 4 + 2x * 4) 6 + 2x = (16 + 8x) Solving 6 + 2x = 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. 6 + 2x + -8x = 16 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = 16 + 0 6 + -6x = 16 Add '-6' to each side of the equation. 6 + -6 + -6x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 16 + -6 -6x = 16 + -6 Combine like terms: 16 + -6 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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