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