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Simplifying abs(8x + 2) = abs(x + 2) Reorder the terms: abs(2 + 8x) = abs(x + 2) (2 * abs + 8x * abs) = abs(x + 2) (2abs + 8absx) = abs(x + 2) Reorder the terms: 2abs + 8absx = abs(2 + x) 2abs + 8absx = (2 * abs + x * abs) 2abs + 8absx = (2abs + absx) Add '-2abs' to each side of the equation. 2abs + -2abs + 8absx = 2abs + -2abs + absx Combine like terms: 2abs + -2abs = 0 0 + 8absx = 2abs + -2abs + absx 8absx = 2abs + -2abs + absx Combine like terms: 2abs + -2abs = 0 8absx = 0 + absx 8absx = absx Solving 8absx = absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1absx' to each side of the equation. 8absx + -1absx = absx + -1absx Combine like terms: 8absx + -1absx = 7absx 7absx = absx + -1absx Combine like terms: absx + -1absx = 0 7absx = 0 Divide each side by '7'. absx = 0 Simplifying absx = 0 The solution to this equation could not be determined.
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