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Simplifying 2x + 2y = 10 + 4x + -4y Solving 2x + 2y = 10 + 4x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x + 2y = 10 + 4x + -4x + -4y Combine like terms: 2x + -4x = -2x -2x + 2y = 10 + 4x + -4x + -4y Combine like terms: 4x + -4x = 0 -2x + 2y = 10 + 0 + -4y -2x + 2y = 10 + -4y Add '-2y' to each side of the equation. -2x + 2y + -2y = 10 + -4y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 10 + -4y + -2y -2x = 10 + -4y + -2y Combine like terms: -4y + -2y = -6y -2x = 10 + -6y Divide each side by '-2'. x = -5 + 3y Simplifying x = -5 + 3y
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