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Simplifying 10x + y = 10y + x + -18 Reorder the terms: 10x + y = -18 + x + 10y Solving 10x + y = -18 + x + 10y 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. 10x + -1x + y = -18 + x + -1x + 10y Combine like terms: 10x + -1x = 9x 9x + y = -18 + x + -1x + 10y Combine like terms: x + -1x = 0 9x + y = -18 + 0 + 10y 9x + y = -18 + 10y Add '-1y' to each side of the equation. 9x + y + -1y = -18 + 10y + -1y Combine like terms: y + -1y = 0 9x + 0 = -18 + 10y + -1y 9x = -18 + 10y + -1y Combine like terms: 10y + -1y = 9y 9x = -18 + 9y Divide each side by '9'. x = -2 + y Simplifying x = -2 + y
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