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Simplifying 2x + -7y = 19 + 5(y + -2x) Reorder the terms: 2x + -7y = 19 + 5(-2x + y) 2x + -7y = 19 + (-2x * 5 + y * 5) 2x + -7y = 19 + (-10x + 5y) Solving 2x + -7y = 19 + -10x + 5y 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. 2x + 10x + -7y = 19 + -10x + 10x + 5y Combine like terms: 2x + 10x = 12x 12x + -7y = 19 + -10x + 10x + 5y Combine like terms: -10x + 10x = 0 12x + -7y = 19 + 0 + 5y 12x + -7y = 19 + 5y Add '7y' to each side of the equation. 12x + -7y + 7y = 19 + 5y + 7y Combine like terms: -7y + 7y = 0 12x + 0 = 19 + 5y + 7y 12x = 19 + 5y + 7y Combine like terms: 5y + 7y = 12y 12x = 19 + 12y Divide each side by '12'. x = 1.583333333 + y Simplifying x = 1.583333333 + y
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