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Simplifying 12 + -1y + 3x = 9x + 1 Reorder the terms: 12 + 3x + -1y = 9x + 1 Reorder the terms: 12 + 3x + -1y = 1 + 9x Solving 12 + 3x + -1y = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 3x + -9x + -1y = 1 + 9x + -9x Combine like terms: 3x + -9x = -6x 12 + -6x + -1y = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -6x + -1y = 1 + 0 12 + -6x + -1y = 1 Add '-12' to each side of the equation. 12 + -6x + -12 + -1y = 1 + -12 Reorder the terms: 12 + -12 + -6x + -1y = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -6x + -1y = 1 + -12 -6x + -1y = 1 + -12 Combine like terms: 1 + -12 = -11 -6x + -1y = -11 Add 'y' to each side of the equation. -6x + -1y + y = -11 + y Combine like terms: -1y + y = 0 -6x + 0 = -11 + y -6x = -11 + y Divide each side by '-6'. x = 1.833333333 + -0.1666666667y Simplifying x = 1.833333333 + -0.1666666667y
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