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Simplifying 6x + 3y = 5x + -2y + 10 Reorder the terms: 6x + 3y = 10 + 5x + -2y Solving 6x + 3y = 10 + 5x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6x + -5x + 3y = 10 + 5x + -5x + -2y Combine like terms: 6x + -5x = 1x 1x + 3y = 10 + 5x + -5x + -2y Combine like terms: 5x + -5x = 0 1x + 3y = 10 + 0 + -2y 1x + 3y = 10 + -2y Add '-3y' to each side of the equation. 1x + 3y + -3y = 10 + -2y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 10 + -2y + -3y 1x = 10 + -2y + -3y Combine like terms: -2y + -3y = -5y 1x = 10 + -5y Divide each side by '1'. x = 10 + -5y Simplifying x = 10 + -5y
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