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Simplifying 2(x + 4y) + -2y = -2 (x * 2 + 4y * 2) + -2y = -2 (2x + 8y) + -2y = -2 Combine like terms: 8y + -2y = 6y 2x + 6y = -2 Solving 2x + 6y = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 2x + 6y + -6y = -2 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = -2 + -6y 2x = -2 + -6y Divide each side by '2'. x = -1 + -3y Simplifying x = -1 + -3y
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