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Simplifying 3x + -14 + 5x = 5 + 6x + -1 Reorder the terms: -14 + 3x + 5x = 5 + 6x + -1 Combine like terms: 3x + 5x = 8x -14 + 8x = 5 + 6x + -1 Reorder the terms: -14 + 8x = 5 + -1 + 6x Combine like terms: 5 + -1 = 4 -14 + 8x = 4 + 6x Solving -14 + 8x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 8x + -6x = 4 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 4 + 0 -14 + 2x = 4 Add '14' to each side of the equation. -14 + 14 + 2x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 4 + 14 2x = 4 + 14 Combine like terms: 4 + 14 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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