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Simplifying x + 8 = abs(4x + 6) Reorder the terms: 8 + x = abs(4x + 6) Reorder the terms: 8 + x = abs(6 + 4x) 8 + x = (6 * abs + 4x * abs) 8 + x = (6abs + 4absx) Solving 8 + x = 6abs + 4absx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4absx' to each side of the equation. 8 + -4absx + x = 6abs + 4absx + -4absx Combine like terms: 4absx + -4absx = 0 8 + -4absx + x = 6abs + 0 8 + -4absx + x = 6abs Add '-8' to each side of the equation. 8 + -4absx + -8 + x = -8 + 6abs Reorder the terms: 8 + -8 + -4absx + x = -8 + 6abs Combine like terms: 8 + -8 = 0 0 + -4absx + x = -8 + 6abs -4absx + x = -8 + 6abs Reorder the terms: 8 + -6abs + -4absx + x = -8 + 6abs + 8 + -6abs Reorder the terms: 8 + -6abs + -4absx + x = -8 + 8 + 6abs + -6abs Combine like terms: -8 + 8 = 0 8 + -6abs + -4absx + x = 0 + 6abs + -6abs 8 + -6abs + -4absx + x = 6abs + -6abs Combine like terms: 6abs + -6abs = 0 8 + -6abs + -4absx + x = 0 The solution to this equation could not be determined.
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