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Simplifying 3(x + -7) + -2(3x + 5) = ax + b Reorder the terms: 3(-7 + x) + -2(3x + 5) = ax + b (-7 * 3 + x * 3) + -2(3x + 5) = ax + b (-21 + 3x) + -2(3x + 5) = ax + b Reorder the terms: -21 + 3x + -2(5 + 3x) = ax + b -21 + 3x + (5 * -2 + 3x * -2) = ax + b -21 + 3x + (-10 + -6x) = ax + b Reorder the terms: -21 + -10 + 3x + -6x = ax + b Combine like terms: -21 + -10 = -31 -31 + 3x + -6x = ax + b Combine like terms: 3x + -6x = -3x -31 + -3x = ax + b Solving -31 + -3x = ax + b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -31 + -1ax + -3x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -31 + -1ax + -3x = 0 + b -31 + -1ax + -3x = b Add '31' to each side of the equation. -31 + -1ax + 31 + -3x = 31 + b Reorder the terms: -31 + 31 + -1ax + -3x = 31 + b Combine like terms: -31 + 31 = 0 0 + -1ax + -3x = 31 + b -1ax + -3x = 31 + b Reorder the terms: -31 + -1ax + -1b + -3x = 31 + b + -31 + -1b Reorder the terms: -31 + -1ax + -1b + -3x = 31 + -31 + b + -1b Combine like terms: 31 + -31 = 0 -31 + -1ax + -1b + -3x = 0 + b + -1b -31 + -1ax + -1b + -3x = b + -1b Combine like terms: b + -1b = 0 -31 + -1ax + -1b + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(31 + ax + b + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(31 + ax + b + 3x)' equal to zero and attempt to solve: Simplifying 31 + ax + b + 3x = 0 Solving 31 + ax + b + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + ax + b + -31 + 3x = 0 + -31 Reorder the terms: 31 + -31 + ax + b + 3x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + ax + b + 3x = 0 + -31 ax + b + 3x = 0 + -31 Combine like terms: 0 + -31 = -31 ax + b + 3x = -31 Add '-1b' to each side of the equation. ax + b + -1b + 3x = -31 + -1b Combine like terms: b + -1b = 0 ax + 0 + 3x = -31 + -1b ax + 3x = -31 + -1b 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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