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Simplifying 3x + -14 = 5x + 2 + -4x Reorder the terms: -14 + 3x = 5x + 2 + -4x Reorder the terms: -14 + 3x = 2 + 5x + -4x Combine like terms: 5x + -4x = 1x -14 + 3x = 2 + 1x Solving -14 + 3x = 2 + 1x 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. -14 + 3x + -1x = 2 + 1x + -1x Combine like terms: 3x + -1x = 2x -14 + 2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 2x = 2 + 0 -14 + 2x = 2 Add '14' to each side of the equation. -14 + 14 + 2x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 2 + 14 2x = 2 + 14 Combine like terms: 2 + 14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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