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Simplifying 4x + 2x + -3x = 6x + 14 + -1x Combine like terms: 4x + 2x = 6x 6x + -3x = 6x + 14 + -1x Combine like terms: 6x + -3x = 3x 3x = 6x + 14 + -1x Reorder the terms: 3x = 14 + 6x + -1x Combine like terms: 6x + -1x = 5x 3x = 14 + 5x Solving 3x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + -5x = 14 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 14 + 0 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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