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Simplifying 3(x + 6) * 4 = 6x + -2 Reorder the terms: 3(6 + x) * 4 = 6x + -2 Reorder the terms for easier multiplication: 3 * 4(6 + x) = 6x + -2 Multiply 3 * 4 12(6 + x) = 6x + -2 (6 * 12 + x * 12) = 6x + -2 (72 + 12x) = 6x + -2 Reorder the terms: 72 + 12x = -2 + 6x Solving 72 + 12x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 72 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x 72 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 72 + 6x = -2 + 0 72 + 6x = -2 Add '-72' to each side of the equation. 72 + -72 + 6x = -2 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = -2 + -72 6x = -2 + -72 Combine like terms: -2 + -72 = -74 6x = -74 Divide each side by '6'. x = -12.33333333 Simplifying x = -12.33333333
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