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