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Simplifying 2x + 2y + -8y + 24 = 0 Reorder the terms: 24 + 2x + 2y + -8y = 0 Combine like terms: 2y + -8y = -6y 24 + 2x + -6y = 0 Solving 24 + 2x + -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 + 2x + -24 + -6y = 0 + -24 Reorder the terms: 24 + -24 + 2x + -6y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2x + -6y = 0 + -24 2x + -6y = 0 + -24 Combine like terms: 0 + -24 = -24 2x + -6y = -24 Add '6y' to each side of the equation. 2x + -6y + 6y = -24 + 6y Combine like terms: -6y + 6y = 0 2x + 0 = -24 + 6y 2x = -24 + 6y Divide each side by '2'. x = -12 + 3y Simplifying x = -12 + 3y
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