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Simplifying 2(x + 4) = 4(2x + 1) Reorder the terms: 2(4 + x) = 4(2x + 1) (4 * 2 + x * 2) = 4(2x + 1) (8 + 2x) = 4(2x + 1) Reorder the terms: 8 + 2x = 4(1 + 2x) 8 + 2x = (1 * 4 + 2x * 4) 8 + 2x = (4 + 8x) Solving 8 + 2x = 4 + 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. 8 + 2x + -8x = 4 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = 4 + 0 8 + -6x = 4 Add '-8' to each side of the equation. 8 + -8 + -6x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 4 + -8 -6x = 4 + -8 Combine like terms: 4 + -8 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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