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Simplifying 5y + 3x = 2y + -3x + 5 Reorder the terms: 3x + 5y = 2y + -3x + 5 Reorder the terms: 3x + 5y = 5 + -3x + 2y Solving 3x + 5y = 5 + -3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3x + 3x + 5y = 5 + -3x + 3x + 2y Combine like terms: 3x + 3x = 6x 6x + 5y = 5 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 6x + 5y = 5 + 0 + 2y 6x + 5y = 5 + 2y Add '-5y' to each side of the equation. 6x + 5y + -5y = 5 + 2y + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 5 + 2y + -5y 6x = 5 + 2y + -5y Combine like terms: 2y + -5y = -3y 6x = 5 + -3y Divide each side by '6'. x = 0.8333333333 + -0.5y Simplifying x = 0.8333333333 + -0.5y
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