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Simplifying 10x + 5 + -8 + 3x + -5x + 1 = 14 Reorder the terms: 5 + -8 + 1 + 10x + 3x + -5x = 14 Combine like terms: 5 + -8 = -3 -3 + 1 + 10x + 3x + -5x = 14 Combine like terms: -3 + 1 = -2 -2 + 10x + 3x + -5x = 14 Combine like terms: 10x + 3x = 13x -2 + 13x + -5x = 14 Combine like terms: 13x + -5x = 8x -2 + 8x = 14 Solving -2 + 8x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 14 + 2 8x = 14 + 2 Combine like terms: 14 + 2 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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