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Simplifying 3x + 2 + -4 = x + 6y + 14 Reorder the terms: 2 + -4 + 3x = x + 6y + 14 Combine like terms: 2 + -4 = -2 -2 + 3x = x + 6y + 14 Reorder the terms: -2 + 3x = 14 + x + 6y Solving -2 + 3x = 14 + x + 6y 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. -2 + 3x + -1x = 14 + x + -1x + 6y Combine like terms: 3x + -1x = 2x -2 + 2x = 14 + x + -1x + 6y Combine like terms: x + -1x = 0 -2 + 2x = 14 + 0 + 6y -2 + 2x = 14 + 6y Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 + 6y Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 + 6y 2x = 14 + 2 + 6y Combine like terms: 14 + 2 = 16 2x = 16 + 6y Divide each side by '2'. x = 8 + 3y Simplifying x = 8 + 3y
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