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Simplifying 6x + -5y = 41 + -3x Solving 6x + -5y = 41 + -3x 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 = 41 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x + -5y = 41 + -3x + 3x Combine like terms: -3x + 3x = 0 9x + -5y = 41 + 0 9x + -5y = 41 Add '5y' to each side of the equation. 9x + -5y + 5y = 41 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 41 + 5y 9x = 41 + 5y Divide each side by '9'. x = 4.555555556 + 0.5555555556y Simplifying x = 4.555555556 + 0.5555555556y
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