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Simplifying 2(6x + 4) = x + 2(x + 1) Reorder the terms: 2(4 + 6x) = x + 2(x + 1) (4 * 2 + 6x * 2) = x + 2(x + 1) (8 + 12x) = x + 2(x + 1) Reorder the terms: 8 + 12x = x + 2(1 + x) 8 + 12x = x + (1 * 2 + x * 2) 8 + 12x = x + (2 + 2x) Reorder the terms: 8 + 12x = 2 + x + 2x Combine like terms: x + 2x = 3x 8 + 12x = 2 + 3x Solving 8 + 12x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 12x + -3x = 2 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = 2 + 0 8 + 9x = 2 Add '-8' to each side of the equation. 8 + -8 + 9x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 2 + -8 9x = 2 + -8 Combine like terms: 2 + -8 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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