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Simplifying 3x + y + 6 = -9 + 6y + -1x Reorder the terms: 6 + 3x + y = -9 + 6y + -1x Reorder the terms: 6 + 3x + y = -9 + -1x + 6y Solving 6 + 3x + y = -9 + -1x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 3x + x + y = -9 + -1x + x + 6y Combine like terms: 3x + x = 4x 6 + 4x + y = -9 + -1x + x + 6y Combine like terms: -1x + x = 0 6 + 4x + y = -9 + 0 + 6y 6 + 4x + y = -9 + 6y Add '-6' to each side of the equation. 6 + 4x + -6 + y = -9 + -6 + 6y Reorder the terms: 6 + -6 + 4x + y = -9 + -6 + 6y Combine like terms: 6 + -6 = 0 0 + 4x + y = -9 + -6 + 6y 4x + y = -9 + -6 + 6y Combine like terms: -9 + -6 = -15 4x + y = -15 + 6y Add '-1y' to each side of the equation. 4x + y + -1y = -15 + 6y + -1y Combine like terms: y + -1y = 0 4x + 0 = -15 + 6y + -1y 4x = -15 + 6y + -1y Combine like terms: 6y + -1y = 5y 4x = -15 + 5y Divide each side by '4'. x = -3.75 + 1.25y Simplifying x = -3.75 + 1.25y
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