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Simplifying (2y + 2) + 7x = (4y + -4) + (x + 6) Reorder the terms: (2 + 2y) + 7x = (4y + -4) + (x + 6) Remove parenthesis around (2 + 2y) 2 + 2y + 7x = (4y + -4) + (x + 6) Reorder the terms: 2 + 7x + 2y = (4y + -4) + (x + 6) Reorder the terms: 2 + 7x + 2y = (-4 + 4y) + (x + 6) Remove parenthesis around (-4 + 4y) 2 + 7x + 2y = -4 + 4y + (x + 6) Reorder the terms: 2 + 7x + 2y = -4 + 4y + (6 + x) Remove parenthesis around (6 + x) 2 + 7x + 2y = -4 + 4y + 6 + x Reorder the terms: 2 + 7x + 2y = -4 + 6 + x + 4y Combine like terms: -4 + 6 = 2 2 + 7x + 2y = 2 + x + 4y Add '-2' to each side of the equation. 2 + 7x + -2 + 2y = 2 + x + -2 + 4y Reorder the terms: 2 + -2 + 7x + 2y = 2 + x + -2 + 4y Combine like terms: 2 + -2 = 0 0 + 7x + 2y = 2 + x + -2 + 4y 7x + 2y = 2 + x + -2 + 4y Reorder the terms: 7x + 2y = 2 + -2 + x + 4y Combine like terms: 2 + -2 = 0 7x + 2y = 0 + x + 4y 7x + 2y = x + 4y Solving 7x + 2y = x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7x + -1x + 2y = x + -1x + 4y Combine like terms: 7x + -1x = 6x 6x + 2y = x + -1x + 4y Combine like terms: x + -1x = 0 6x + 2y = 0 + 4y 6x + 2y = 4y Add '-2y' to each side of the equation. 6x + 2y + -2y = 4y + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 4y + -2y 6x = 4y + -2y Combine like terms: 4y + -2y = 2y 6x = 2y Divide each side by '6'. x = 0.3333333333y Simplifying x = 0.3333333333y
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