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Simplifying 6x + -7y = 26 + 2(y + -3x) Reorder the terms: 6x + -7y = 26 + 2(-3x + y) 6x + -7y = 26 + (-3x * 2 + y * 2) 6x + -7y = 26 + (-6x + 2y) Solving 6x + -7y = 26 + -6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6x + 6x + -7y = 26 + -6x + 6x + 2y Combine like terms: 6x + 6x = 12x 12x + -7y = 26 + -6x + 6x + 2y Combine like terms: -6x + 6x = 0 12x + -7y = 26 + 0 + 2y 12x + -7y = 26 + 2y Add '7y' to each side of the equation. 12x + -7y + 7y = 26 + 2y + 7y Combine like terms: -7y + 7y = 0 12x + 0 = 26 + 2y + 7y 12x = 26 + 2y + 7y Combine like terms: 2y + 7y = 9y 12x = 26 + 9y Divide each side by '12'. x = 2.166666667 + 0.75y Simplifying x = 2.166666667 + 0.75y
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