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Simplifying 3x + 8 = 4x + -2y Reorder the terms: 8 + 3x = 4x + -2y Solving 8 + 3x = 4x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 3x + -4x = 4x + -4x + -2y Combine like terms: 3x + -4x = -1x 8 + -1x = 4x + -4x + -2y Combine like terms: 4x + -4x = 0 8 + -1x = 0 + -2y 8 + -1x = -2y Add '-8' to each side of the equation. 8 + -8 + -1x = -8 + -2y Combine like terms: 8 + -8 = 0 0 + -1x = -8 + -2y -1x = -8 + -2y Divide each side by '-1'. x = 8 + 2y Simplifying x = 8 + 2y
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