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Simplifying 2x + 3y = 6 + 47x + -32y Solving 2x + 3y = 6 + 47x + -32y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 2x + -47x + 3y = 6 + 47x + -47x + -32y Combine like terms: 2x + -47x = -45x -45x + 3y = 6 + 47x + -47x + -32y Combine like terms: 47x + -47x = 0 -45x + 3y = 6 + 0 + -32y -45x + 3y = 6 + -32y Add '-3y' to each side of the equation. -45x + 3y + -3y = 6 + -32y + -3y Combine like terms: 3y + -3y = 0 -45x + 0 = 6 + -32y + -3y -45x = 6 + -32y + -3y Combine like terms: -32y + -3y = -35y -45x = 6 + -35y Divide each side by '-45'. x = -0.1333333333 + 0.7777777778y Simplifying x = -0.1333333333 + 0.7777777778y
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