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