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Simplifying y + -3x + -29 = 9x + 102 + 6y Reorder the terms: -29 + -3x + y = 9x + 102 + 6y Reorder the terms: -29 + -3x + y = 102 + 9x + 6y Solving -29 + -3x + y = 102 + 9x + 6y 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. -29 + -3x + -9x + y = 102 + 9x + -9x + 6y Combine like terms: -3x + -9x = -12x -29 + -12x + y = 102 + 9x + -9x + 6y Combine like terms: 9x + -9x = 0 -29 + -12x + y = 102 + 0 + 6y -29 + -12x + y = 102 + 6y Add '29' to each side of the equation. -29 + -12x + 29 + y = 102 + 29 + 6y Reorder the terms: -29 + 29 + -12x + y = 102 + 29 + 6y Combine like terms: -29 + 29 = 0 0 + -12x + y = 102 + 29 + 6y -12x + y = 102 + 29 + 6y Combine like terms: 102 + 29 = 131 -12x + y = 131 + 6y Add '-1y' to each side of the equation. -12x + y + -1y = 131 + 6y + -1y Combine like terms: y + -1y = 0 -12x + 0 = 131 + 6y + -1y -12x = 131 + 6y + -1y Combine like terms: 6y + -1y = 5y -12x = 131 + 5y Divide each side by '-12'. x = -10.91666667 + -0.4166666667y Simplifying x = -10.91666667 + -0.4166666667y
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