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Simplifying y + 3 + 5x + 7 = 6x + 2y + 2y + 1 Reorder the terms: 3 + 7 + 5x + y = 6x + 2y + 2y + 1 Combine like terms: 3 + 7 = 10 10 + 5x + y = 6x + 2y + 2y + 1 Reorder the terms: 10 + 5x + y = 1 + 6x + 2y + 2y Combine like terms: 2y + 2y = 4y 10 + 5x + y = 1 + 6x + 4y Solving 10 + 5x + y = 1 + 6x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 5x + -6x + y = 1 + 6x + -6x + 4y Combine like terms: 5x + -6x = -1x 10 + -1x + y = 1 + 6x + -6x + 4y Combine like terms: 6x + -6x = 0 10 + -1x + y = 1 + 0 + 4y 10 + -1x + y = 1 + 4y Add '-10' to each side of the equation. 10 + -1x + -10 + y = 1 + -10 + 4y Reorder the terms: 10 + -10 + -1x + y = 1 + -10 + 4y Combine like terms: 10 + -10 = 0 0 + -1x + y = 1 + -10 + 4y -1x + y = 1 + -10 + 4y Combine like terms: 1 + -10 = -9 -1x + y = -9 + 4y Add '-1y' to each side of the equation. -1x + y + -1y = -9 + 4y + -1y Combine like terms: y + -1y = 0 -1x + 0 = -9 + 4y + -1y -1x = -9 + 4y + -1y Combine like terms: 4y + -1y = 3y -1x = -9 + 3y Divide each side by '-1'. x = 9 + -3y Simplifying x = 9 + -3y
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