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Simplifying 6x + -5y = 3x + 2y + -9 Reorder the terms: 6x + -5y = -9 + 3x + 2y Solving 6x + -5y = -9 + 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. 6x + -3x + -5y = -9 + 3x + -3x + 2y Combine like terms: 6x + -3x = 3x 3x + -5y = -9 + 3x + -3x + 2y Combine like terms: 3x + -3x = 0 3x + -5y = -9 + 0 + 2y 3x + -5y = -9 + 2y Add '5y' to each side of the equation. 3x + -5y + 5y = -9 + 2y + 5y Combine like terms: -5y + 5y = 0 3x + 0 = -9 + 2y + 5y 3x = -9 + 2y + 5y Combine like terms: 2y + 5y = 7y 3x = -9 + 7y Divide each side by '3'. x = -3 + 2.333333333y Simplifying x = -3 + 2.333333333y
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