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Simplifying 3x + 8 = 2y + -1x + -6 Reorder the terms: 8 + 3x = 2y + -1x + -6 Reorder the terms: 8 + 3x = -6 + -1x + 2y Solving 8 + 3x = -6 + -1x + 2y 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. 8 + 3x + x = -6 + -1x + x + 2y Combine like terms: 3x + x = 4x 8 + 4x = -6 + -1x + x + 2y Combine like terms: -1x + x = 0 8 + 4x = -6 + 0 + 2y 8 + 4x = -6 + 2y Add '-8' to each side of the equation. 8 + -8 + 4x = -6 + -8 + 2y Combine like terms: 8 + -8 = 0 0 + 4x = -6 + -8 + 2y 4x = -6 + -8 + 2y Combine like terms: -6 + -8 = -14 4x = -14 + 2y Divide each side by '4'. x = -3.5 + 0.5y Simplifying x = -3.5 + 0.5y
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