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Simplifying 5abs(3 + -2x) + -10 = 25 (3 * 5abs + -2x * 5abs) + -10 = 25 (15abs + -10absx) + -10 = 25 Reorder the terms: -10 + 15abs + -10absx = 25 Solving -10 + 15abs + -10absx = 25 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 15abs + 10 + -10absx = 25 + 10 Reorder the terms: -10 + 10 + 15abs + -10absx = 25 + 10 Combine like terms: -10 + 10 = 0 0 + 15abs + -10absx = 25 + 10 15abs + -10absx = 25 + 10 Combine like terms: 25 + 10 = 35 15abs + -10absx = 35 Reorder the terms: -35 + 15abs + -10absx = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 15abs + -10absx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + 3abs + -2absx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + 3abs + -2absx)' equal to zero and attempt to solve: Simplifying -7 + 3abs + -2absx = 0 Solving -7 + 3abs + -2absx = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3abs + 7 + -2absx = 0 + 7 Reorder the terms: -7 + 7 + 3abs + -2absx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3abs + -2absx = 0 + 7 3abs + -2absx = 0 + 7 Combine like terms: 0 + 7 = 7 3abs + -2absx = 7 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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