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Simplifying 6(x + 4) = -3(2 + x) + 3x + 12 Reorder the terms: 6(4 + x) = -3(2 + x) + 3x + 12 (4 * 6 + x * 6) = -3(2 + x) + 3x + 12 (24 + 6x) = -3(2 + x) + 3x + 12 24 + 6x = (2 * -3 + x * -3) + 3x + 12 24 + 6x = (-6 + -3x) + 3x + 12 Reorder the terms: 24 + 6x = -6 + 12 + -3x + 3x Combine like terms: -6 + 12 = 6 24 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Solving 24 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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