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Simplifying 7 + -1abs(4 + 8x) = 2x + 1 7 + (4 * -1abs + 8x * -1abs) = 2x + 1 7 + (-4abs + -8absx) = 2x + 1 Reorder the terms: 7 + -4abs + -8absx = 1 + 2x Solving 7 + -4abs + -8absx = 1 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -4abs + -7 + -8absx = 1 + -7 + 2x Reorder the terms: 7 + -7 + -4abs + -8absx = 1 + -7 + 2x Combine like terms: 7 + -7 = 0 0 + -4abs + -8absx = 1 + -7 + 2x -4abs + -8absx = 1 + -7 + 2x Combine like terms: 1 + -7 = -6 -4abs + -8absx = -6 + 2x Reorder the terms: 6 + -4abs + -8absx + -2x = -6 + 2x + 6 + -2x Reorder the terms: 6 + -4abs + -8absx + -2x = -6 + 6 + 2x + -2x Combine like terms: -6 + 6 = 0 6 + -4abs + -8absx + -2x = 0 + 2x + -2x 6 + -4abs + -8absx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4abs + -8absx + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -2abs + -4absx + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -2abs + -4absx + -1x)' equal to zero and attempt to solve: Simplifying 3 + -2abs + -4absx + -1x = 0 Solving 3 + -2abs + -4absx + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2abs + -4absx + -3 + -1x = 0 + -3 Reorder the terms: 3 + -3 + -2abs + -4absx + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2abs + -4absx + -1x = 0 + -3 -2abs + -4absx + -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -2abs + -4absx + -1x = -3 Add 'x' to each side of the equation. -2abs + -4absx + -1x + x = -3 + x Combine like terms: -1x + x = 0 -2abs + -4absx + 0 = -3 + x -2abs + -4absx = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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