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Simplifying 3(3x + -2y) = 4x + 5y + -3 (3x * 3 + -2y * 3) = 4x + 5y + -3 (9x + -6y) = 4x + 5y + -3 Reorder the terms: 9x + -6y = -3 + 4x + 5y Solving 9x + -6y = -3 + 4x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9x + -4x + -6y = -3 + 4x + -4x + 5y Combine like terms: 9x + -4x = 5x 5x + -6y = -3 + 4x + -4x + 5y Combine like terms: 4x + -4x = 0 5x + -6y = -3 + 0 + 5y 5x + -6y = -3 + 5y Add '6y' to each side of the equation. 5x + -6y + 6y = -3 + 5y + 6y Combine like terms: -6y + 6y = 0 5x + 0 = -3 + 5y + 6y 5x = -3 + 5y + 6y Combine like terms: 5y + 6y = 11y 5x = -3 + 11y Divide each side by '5'. x = -0.6 + 2.2y Simplifying x = -0.6 + 2.2y
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