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Simplifying 5x + 3y + 1 = x + y + 1 Reorder the terms: 1 + 5x + 3y = x + y + 1 Reorder the terms: 1 + 5x + 3y = 1 + x + y Add '-1' to each side of the equation. 1 + 5x + -1 + 3y = 1 + x + -1 + y Reorder the terms: 1 + -1 + 5x + 3y = 1 + x + -1 + y Combine like terms: 1 + -1 = 0 0 + 5x + 3y = 1 + x + -1 + y 5x + 3y = 1 + x + -1 + y Reorder the terms: 5x + 3y = 1 + -1 + x + y Combine like terms: 1 + -1 = 0 5x + 3y = 0 + x + y 5x + 3y = x + y Solving 5x + 3y = x + y 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. 5x + -1x + 3y = x + -1x + y Combine like terms: 5x + -1x = 4x 4x + 3y = x + -1x + y Combine like terms: x + -1x = 0 4x + 3y = 0 + y 4x + 3y = y Add '-3y' to each side of the equation. 4x + 3y + -3y = y + -3y Combine like terms: 3y + -3y = 0 4x + 0 = y + -3y 4x = y + -3y Combine like terms: y + -3y = -2y 4x = -2y Divide each side by '4'. x = -0.5y Simplifying x = -0.5y
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