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Simplifying abs(3x + -4) = abs(2x + -14) Reorder the terms: abs(-4 + 3x) = abs(2x + -14) (-4 * abs + 3x * abs) = abs(2x + -14) (-4abs + 3absx) = abs(2x + -14) Reorder the terms: -4abs + 3absx = abs(-14 + 2x) -4abs + 3absx = (-14 * abs + 2x * abs) -4abs + 3absx = (-14abs + 2absx) Solving -4abs + 3absx = -14abs + 2absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14abs' to each side of the equation. -4abs + 14abs + 3absx = -14abs + 14abs + 2absx Combine like terms: -4abs + 14abs = 10abs 10abs + 3absx = -14abs + 14abs + 2absx Combine like terms: -14abs + 14abs = 0 10abs + 3absx = 0 + 2absx 10abs + 3absx = 2absx Add '-2absx' to each side of the equation. 10abs + 3absx + -2absx = 2absx + -2absx Combine like terms: 3absx + -2absx = 1absx 10abs + 1absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 10abs + 1absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(10 + x) = 0Subproblem 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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