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Simplifying 8x + -14 + -2x = -6x + 10 + 9x Reorder the terms: -14 + 8x + -2x = -6x + 10 + 9x Combine like terms: 8x + -2x = 6x -14 + 6x = -6x + 10 + 9x Reorder the terms: -14 + 6x = 10 + -6x + 9x Combine like terms: -6x + 9x = 3x -14 + 6x = 10 + 3x Solving -14 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -14 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 3x = 10 + 0 -14 + 3x = 10 Add '14' to each side of the equation. -14 + 14 + 3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 10 + 14 3x = 10 + 14 Combine like terms: 10 + 14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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