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Simplifying 10x + -10y + -35 = 35 + -15x + 4y Reorder the terms: -35 + 10x + -10y = 35 + -15x + 4y Solving -35 + 10x + -10y = 35 + -15x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -35 + 10x + 15x + -10y = 35 + -15x + 15x + 4y Combine like terms: 10x + 15x = 25x -35 + 25x + -10y = 35 + -15x + 15x + 4y Combine like terms: -15x + 15x = 0 -35 + 25x + -10y = 35 + 0 + 4y -35 + 25x + -10y = 35 + 4y Add '35' to each side of the equation. -35 + 25x + 35 + -10y = 35 + 35 + 4y Reorder the terms: -35 + 35 + 25x + -10y = 35 + 35 + 4y Combine like terms: -35 + 35 = 0 0 + 25x + -10y = 35 + 35 + 4y 25x + -10y = 35 + 35 + 4y Combine like terms: 35 + 35 = 70 25x + -10y = 70 + 4y Add '10y' to each side of the equation. 25x + -10y + 10y = 70 + 4y + 10y Combine like terms: -10y + 10y = 0 25x + 0 = 70 + 4y + 10y 25x = 70 + 4y + 10y Combine like terms: 4y + 10y = 14y 25x = 70 + 14y Divide each side by '25'. x = 2.8 + 0.56y Simplifying x = 2.8 + 0.56y
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