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