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Simplifying -2(x + y) = 4 + -7(2x + y) (x * -2 + y * -2) = 4 + -7(2x + y) (-2x + -2y) = 4 + -7(2x + y) -2x + -2y = 4 + (2x * -7 + y * -7) -2x + -2y = 4 + (-14x + -7y) Solving -2x + -2y = 4 + -14x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -2x + 14x + -2y = 4 + -14x + 14x + -7y Combine like terms: -2x + 14x = 12x 12x + -2y = 4 + -14x + 14x + -7y Combine like terms: -14x + 14x = 0 12x + -2y = 4 + 0 + -7y 12x + -2y = 4 + -7y Add '2y' to each side of the equation. 12x + -2y + 2y = 4 + -7y + 2y Combine like terms: -2y + 2y = 0 12x + 0 = 4 + -7y + 2y 12x = 4 + -7y + 2y Combine like terms: -7y + 2y = -5y 12x = 4 + -5y Divide each side by '12'. x = 0.3333333333 + -0.4166666667y Simplifying x = 0.3333333333 + -0.4166666667y
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