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Simplifying 5(2x + y) + -1(3x + -1y) = x (2x * 5 + y * 5) + -1(3x + -1y) = x (10x + 5y) + -1(3x + -1y) = x 10x + 5y + (3x * -1 + -1y * -1) = x 10x + 5y + (-3x + 1y) = x Reorder the terms: 10x + -3x + 5y + 1y = x Combine like terms: 10x + -3x = 7x 7x + 5y + 1y = x Combine like terms: 5y + 1y = 6y 7x + 6y = x Solving 7x + 6y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7x + -1x + 6y = x + -1x Combine like terms: 7x + -1x = 6x 6x + 6y = x + -1x Combine like terms: x + -1x = 0 6x + 6y = 0 Add '-6y' to each side of the equation. 6x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 0 + -6y 6x = 0 + -6y Remove the zero: 6x = -6y Divide each side by '6'. x = -1y Simplifying x = -1y
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