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Simplifying 7(2y + -1x) = 21 + 2(3y + -1) Reorder the terms: 7(-1x + 2y) = 21 + 2(3y + -1) (-1x * 7 + 2y * 7) = 21 + 2(3y + -1) (-7x + 14y) = 21 + 2(3y + -1) Reorder the terms: -7x + 14y = 21 + 2(-1 + 3y) -7x + 14y = 21 + (-1 * 2 + 3y * 2) -7x + 14y = 21 + (-2 + 6y) Combine like terms: 21 + -2 = 19 -7x + 14y = 19 + 6y Solving -7x + 14y = 19 + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -7x + 14y + -14y = 19 + 6y + -14y Combine like terms: 14y + -14y = 0 -7x + 0 = 19 + 6y + -14y -7x = 19 + 6y + -14y Combine like terms: 6y + -14y = -8y -7x = 19 + -8y Divide each side by '-7'. x = -2.714285714 + 1.142857143y Simplifying x = -2.714285714 + 1.142857143y
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