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Simplifying -3x + 10y = 5y + -7x + 9 Reorder the terms: -3x + 10y = 9 + -7x + 5y Solving -3x + 10y = 9 + -7x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3x + 7x + 10y = 9 + -7x + 7x + 5y Combine like terms: -3x + 7x = 4x 4x + 10y = 9 + -7x + 7x + 5y Combine like terms: -7x + 7x = 0 4x + 10y = 9 + 0 + 5y 4x + 10y = 9 + 5y Add '-10y' to each side of the equation. 4x + 10y + -10y = 9 + 5y + -10y Combine like terms: 10y + -10y = 0 4x + 0 = 9 + 5y + -10y 4x = 9 + 5y + -10y Combine like terms: 5y + -10y = -5y 4x = 9 + -5y Divide each side by '4'. x = 2.25 + -1.25y Simplifying x = 2.25 + -1.25y
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