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Simplifying 2(x + 6) = 4(2x + 1) Reorder the terms: 2(6 + x) = 4(2x + 1) (6 * 2 + x * 2) = 4(2x + 1) (12 + 2x) = 4(2x + 1) Reorder the terms: 12 + 2x = 4(1 + 2x) 12 + 2x = (1 * 4 + 2x * 4) 12 + 2x = (4 + 8x) Solving 12 + 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. 12 + 2x + -8x = 4 + 8x + -8x Combine like terms: 2x + -8x = -6x 12 + -6x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -6x = 4 + 0 12 + -6x = 4 Add '-12' to each side of the equation. 12 + -12 + -6x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 4 + -12 -6x = 4 + -12 Combine like terms: 4 + -12 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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