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