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Simplifying 7x + -2y = 21 + 3(y + -5x) Reorder the terms: 7x + -2y = 21 + 3(-5x + y) 7x + -2y = 21 + (-5x * 3 + y * 3) 7x + -2y = 21 + (-15x + 3y) Solving 7x + -2y = 21 + -15x + 3y 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. 7x + 15x + -2y = 21 + -15x + 15x + 3y Combine like terms: 7x + 15x = 22x 22x + -2y = 21 + -15x + 15x + 3y Combine like terms: -15x + 15x = 0 22x + -2y = 21 + 0 + 3y 22x + -2y = 21 + 3y Add '2y' to each side of the equation. 22x + -2y + 2y = 21 + 3y + 2y Combine like terms: -2y + 2y = 0 22x + 0 = 21 + 3y + 2y 22x = 21 + 3y + 2y Combine like terms: 3y + 2y = 5y 22x = 21 + 5y Divide each side by '22'. x = 0.9545454545 + 0.2272727273y Simplifying x = 0.9545454545 + 0.2272727273y
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