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Simplifying 5x + 10y + 3 = 7y + 2 Reorder the terms: 3 + 5x + 10y = 7y + 2 Reorder the terms: 3 + 5x + 10y = 2 + 7y Solving 3 + 5x + 10y = 2 + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + 10y = 2 + -3 + 7y Reorder the terms: 3 + -3 + 5x + 10y = 2 + -3 + 7y Combine like terms: 3 + -3 = 0 0 + 5x + 10y = 2 + -3 + 7y 5x + 10y = 2 + -3 + 7y Combine like terms: 2 + -3 = -1 5x + 10y = -1 + 7y Add '-10y' to each side of the equation. 5x + 10y + -10y = -1 + 7y + -10y Combine like terms: 10y + -10y = 0 5x + 0 = -1 + 7y + -10y 5x = -1 + 7y + -10y Combine like terms: 7y + -10y = -3y 5x = -1 + -3y Divide each side by '5'. x = -0.2 + -0.6y Simplifying x = -0.2 + -0.6y
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