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Simplifying y + x + y + 1 = 2x + -3y + 8 Reorder the terms: 1 + x + y + y = 2x + -3y + 8 Combine like terms: y + y = 2y 1 + x + 2y = 2x + -3y + 8 Reorder the terms: 1 + x + 2y = 8 + 2x + -3y Solving 1 + x + 2y = 8 + 2x + -3y 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. 1 + x + -2x + 2y = 8 + 2x + -2x + -3y Combine like terms: x + -2x = -1x 1 + -1x + 2y = 8 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 1 + -1x + 2y = 8 + 0 + -3y 1 + -1x + 2y = 8 + -3y Add '-1' to each side of the equation. 1 + -1x + -1 + 2y = 8 + -1 + -3y Reorder the terms: 1 + -1 + -1x + 2y = 8 + -1 + -3y Combine like terms: 1 + -1 = 0 0 + -1x + 2y = 8 + -1 + -3y -1x + 2y = 8 + -1 + -3y Combine like terms: 8 + -1 = 7 -1x + 2y = 7 + -3y Add '-2y' to each side of the equation. -1x + 2y + -2y = 7 + -3y + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 7 + -3y + -2y -1x = 7 + -3y + -2y Combine like terms: -3y + -2y = -5y -1x = 7 + -5y Divide each side by '-1'. x = -7 + 5y Simplifying x = -7 + 5y
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