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Simplifying 3x + 5y + 5 = x + 3y + 1 Reorder the terms: 5 + 3x + 5y = x + 3y + 1 Reorder the terms: 5 + 3x + 5y = 1 + x + 3y Solving 5 + 3x + 5y = 1 + x + 3y 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. 5 + 3x + -1x + 5y = 1 + x + -1x + 3y Combine like terms: 3x + -1x = 2x 5 + 2x + 5y = 1 + x + -1x + 3y Combine like terms: x + -1x = 0 5 + 2x + 5y = 1 + 0 + 3y 5 + 2x + 5y = 1 + 3y Add '-5' to each side of the equation. 5 + 2x + -5 + 5y = 1 + -5 + 3y Reorder the terms: 5 + -5 + 2x + 5y = 1 + -5 + 3y Combine like terms: 5 + -5 = 0 0 + 2x + 5y = 1 + -5 + 3y 2x + 5y = 1 + -5 + 3y Combine like terms: 1 + -5 = -4 2x + 5y = -4 + 3y Add '-5y' to each side of the equation. 2x + 5y + -5y = -4 + 3y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -4 + 3y + -5y 2x = -4 + 3y + -5y Combine like terms: 3y + -5y = -2y 2x = -4 + -2y Divide each side by '2'. x = -2 + -1y Simplifying x = -2 + -1y
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