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Simplifying 6(2x + 4) = 3(x + 1) Reorder the terms: 6(4 + 2x) = 3(x + 1) (4 * 6 + 2x * 6) = 3(x + 1) (24 + 12x) = 3(x + 1) Reorder the terms: 24 + 12x = 3(1 + x) 24 + 12x = (1 * 3 + x * 3) 24 + 12x = (3 + 3x) Solving 24 + 12x = 3 + 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. 24 + 12x + -3x = 3 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = 3 + 0 24 + 9x = 3 Add '-24' to each side of the equation. 24 + -24 + 9x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 3 + -24 9x = 3 + -24 Combine like terms: 3 + -24 = -21 9x = -21 Divide each side by '9'. x = -2.333333333 Simplifying x = -2.333333333
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