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Simplifying 7x + -2y + 7 = 4y + -2x Reorder the terms: 7 + 7x + -2y = 4y + -2x Reorder the terms: 7 + 7x + -2y = -2x + 4y Solving 7 + 7x + -2y = -2x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 7x + 2x + -2y = -2x + 2x + 4y Combine like terms: 7x + 2x = 9x 7 + 9x + -2y = -2x + 2x + 4y Combine like terms: -2x + 2x = 0 7 + 9x + -2y = 0 + 4y 7 + 9x + -2y = 4y Add '-7' to each side of the equation. 7 + 9x + -7 + -2y = -7 + 4y Reorder the terms: 7 + -7 + 9x + -2y = -7 + 4y Combine like terms: 7 + -7 = 0 0 + 9x + -2y = -7 + 4y 9x + -2y = -7 + 4y Add '2y' to each side of the equation. 9x + -2y + 2y = -7 + 4y + 2y Combine like terms: -2y + 2y = 0 9x + 0 = -7 + 4y + 2y 9x = -7 + 4y + 2y Combine like terms: 4y + 2y = 6y 9x = -7 + 6y Divide each side by '9'. x = -0.7777777778 + 0.6666666667y Simplifying x = -0.7777777778 + 0.6666666667y
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