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Simplifying 6(x + 1) = 2(6x + 4) Reorder the terms: 6(1 + x) = 2(6x + 4) (1 * 6 + x * 6) = 2(6x + 4) (6 + 6x) = 2(6x + 4) Reorder the terms: 6 + 6x = 2(4 + 6x) 6 + 6x = (4 * 2 + 6x * 2) 6 + 6x = (8 + 12x) Solving 6 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x 6 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -6x = 8 + 0 6 + -6x = 8 Add '-6' to each side of the equation. 6 + -6 + -6x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 8 + -6 -6x = 8 + -6 Combine like terms: 8 + -6 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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