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Simplifying 6(x + y) + -5(x + -1y) = -3 (x * 6 + y * 6) + -5(x + -1y) = -3 (6x + 6y) + -5(x + -1y) = -3 6x + 6y + (x * -5 + -1y * -5) = -3 6x + 6y + (-5x + 5y) = -3 Reorder the terms: 6x + -5x + 6y + 5y = -3 Combine like terms: 6x + -5x = 1x 1x + 6y + 5y = -3 Combine like terms: 6y + 5y = 11y 1x + 11y = -3 Solving 1x + 11y = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 1x + 11y + -11y = -3 + -11y Combine like terms: 11y + -11y = 0 1x + 0 = -3 + -11y 1x = -3 + -11y Divide each side by '1'. x = -3 + -11y Simplifying x = -3 + -11y
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