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Simplifying 6x + -14 + x = 21 + 2x Reorder the terms: -14 + 6x + x = 21 + 2x Combine like terms: 6x + x = 7x -14 + 7x = 21 + 2x Solving -14 + 7x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 7x + -2x = 21 + 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x = 21 + 0 -14 + 5x = 21 Add '14' to each side of the equation. -14 + 14 + 5x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 21 + 14 5x = 21 + 14 Combine like terms: 21 + 14 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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