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Simplifying 2x + 2y = 5x + 6y Solving 2x + 2y = 5x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x + 2y = 5x + -5x + 6y Combine like terms: 2x + -5x = -3x -3x + 2y = 5x + -5x + 6y Combine like terms: 5x + -5x = 0 -3x + 2y = 0 + 6y -3x + 2y = 6y Add '-2y' to each side of the equation. -3x + 2y + -2y = 6y + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 6y + -2y -3x = 6y + -2y Combine like terms: 6y + -2y = 4y -3x = 4y Divide each side by '-3'. x = -1.333333333y Simplifying x = -1.333333333y
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