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Simplifying 10x + -3(x + y) = y + -1x 10x + (x * -3 + y * -3) = y + -1x 10x + (-3x + -3y) = y + -1x Combine like terms: 10x + -3x = 7x 7x + -3y = y + -1x Reorder the terms: 7x + -3y = -1x + y Solving 7x + -3y = -1x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7x + x + -3y = -1x + x + y Combine like terms: 7x + x = 8x 8x + -3y = -1x + x + y Combine like terms: -1x + x = 0 8x + -3y = 0 + y 8x + -3y = y Add '3y' to each side of the equation. 8x + -3y + 3y = y + 3y Combine like terms: -3y + 3y = 0 8x + 0 = y + 3y 8x = y + 3y Combine like terms: y + 3y = 4y 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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