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Simplifying 3x + 2y + -6 = x + -5y Reorder the terms: -6 + 3x + 2y = x + -5y Solving -6 + 3x + 2y = x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x + 2y = x + -1x + -5y Combine like terms: 3x + -1x = 2x -6 + 2x + 2y = x + -1x + -5y Combine like terms: x + -1x = 0 -6 + 2x + 2y = 0 + -5y -6 + 2x + 2y = -5y Add '6' to each side of the equation. -6 + 2x + 6 + 2y = 6 + -5y Reorder the terms: -6 + 6 + 2x + 2y = 6 + -5y Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 6 + -5y 2x + 2y = 6 + -5y Add '-2y' to each side of the equation. 2x + 2y + -2y = 6 + -5y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 6 + -5y + -2y 2x = 6 + -5y + -2y Combine like terms: -5y + -2y = -7y 2x = 6 + -7y Divide each side by '2'. x = 3 + -3.5y Simplifying x = 3 + -3.5y
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