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Simplifying 10y + x = 10x + y + -45 Reorder the terms: x + 10y = 10x + y + -45 Reorder the terms: x + 10y = -45 + 10x + y Solving x + 10y = -45 + 10x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. x + -10x + 10y = -45 + 10x + -10x + y Combine like terms: x + -10x = -9x -9x + 10y = -45 + 10x + -10x + y Combine like terms: 10x + -10x = 0 -9x + 10y = -45 + 0 + y -9x + 10y = -45 + y Add '-10y' to each side of the equation. -9x + 10y + -10y = -45 + y + -10y Combine like terms: 10y + -10y = 0 -9x + 0 = -45 + y + -10y -9x = -45 + y + -10y Combine like terms: y + -10y = -9y -9x = -45 + -9y Divide each side by '-9'. x = 5 + y Simplifying x = 5 + y
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