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Simplifying 3x + 8(2x + -6) + 2 = 14 Reorder the terms: 3x + 8(-6 + 2x) + 2 = 14 3x + (-6 * 8 + 2x * 8) + 2 = 14 3x + (-48 + 16x) + 2 = 14 Reorder the terms: -48 + 2 + 3x + 16x = 14 Combine like terms: -48 + 2 = -46 -46 + 3x + 16x = 14 Combine like terms: 3x + 16x = 19x -46 + 19x = 14 Solving -46 + 19x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 19x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 19x = 14 + 46 19x = 14 + 46 Combine like terms: 14 + 46 = 60 19x = 60 Divide each side by '19'. x = 3.157894737 Simplifying x = 3.157894737
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