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Simplifying 2(x + 12) + -6y + 6x + -12(23 + -11x) = 0 Reorder the terms: 2(12 + x) + -6y + 6x + -12(23 + -11x) = 0 (12 * 2 + x * 2) + -6y + 6x + -12(23 + -11x) = 0 (24 + 2x) + -6y + 6x + -12(23 + -11x) = 0 24 + 2x + -6y + 6x + (23 * -12 + -11x * -12) = 0 24 + 2x + -6y + 6x + (-276 + 132x) = 0 Reorder the terms: 24 + -276 + 2x + 6x + 132x + -6y = 0 Combine like terms: 24 + -276 = -252 -252 + 2x + 6x + 132x + -6y = 0 Combine like terms: 2x + 6x = 8x -252 + 8x + 132x + -6y = 0 Combine like terms: 8x + 132x = 140x -252 + 140x + -6y = 0 Solving -252 + 140x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '252' to each side of the equation. -252 + 140x + 252 + -6y = 0 + 252 Reorder the terms: -252 + 252 + 140x + -6y = 0 + 252 Combine like terms: -252 + 252 = 0 0 + 140x + -6y = 0 + 252 140x + -6y = 0 + 252 Combine like terms: 0 + 252 = 252 140x + -6y = 252 Add '6y' to each side of the equation. 140x + -6y + 6y = 252 + 6y Combine like terms: -6y + 6y = 0 140x + 0 = 252 + 6y 140x = 252 + 6y Divide each side by '140'. x = 1.8 + 0.04285714286y Simplifying x = 1.8 + 0.04285714286y
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