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Simplifying 3(x + 2) + y = 7 + -6(y + 4) Reorder the terms: 3(2 + x) + y = 7 + -6(y + 4) (2 * 3 + x * 3) + y = 7 + -6(y + 4) (6 + 3x) + y = 7 + -6(y + 4) Reorder the terms: 6 + 3x + y = 7 + -6(4 + y) 6 + 3x + y = 7 + (4 * -6 + y * -6) 6 + 3x + y = 7 + (-24 + -6y) Combine like terms: 7 + -24 = -17 6 + 3x + y = -17 + -6y Solving 6 + 3x + y = -17 + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3x + -6 + y = -17 + -6 + -6y Reorder the terms: 6 + -6 + 3x + y = -17 + -6 + -6y Combine like terms: 6 + -6 = 0 0 + 3x + y = -17 + -6 + -6y 3x + y = -17 + -6 + -6y Combine like terms: -17 + -6 = -23 3x + y = -23 + -6y Add '-1y' to each side of the equation. 3x + y + -1y = -23 + -6y + -1y Combine like terms: y + -1y = 0 3x + 0 = -23 + -6y + -1y 3x = -23 + -6y + -1y Combine like terms: -6y + -1y = -7y 3x = -23 + -7y Divide each side by '3'. x = -7.666666667 + -2.333333333y Simplifying x = -7.666666667 + -2.333333333y
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