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Simplifying 6(2x + 4) = 3x + -6 Reorder the terms: 6(4 + 2x) = 3x + -6 (4 * 6 + 2x * 6) = 3x + -6 (24 + 12x) = 3x + -6 Reorder the terms: 24 + 12x = -6 + 3x Solving 24 + 12x = -6 + 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 = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = -6 + 0 24 + 9x = -6 Add '-24' to each side of the equation. 24 + -24 + 9x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -6 + -24 9x = -6 + -24 Combine like terms: -6 + -24 = -30 9x = -30 Divide each side by '9'. x = -3.333333333 Simplifying x = -3.333333333
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