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Simplifying 4x + -5(2x + 1) = ax + b Reorder the terms: 4x + -5(1 + 2x) = ax + b 4x + (1 * -5 + 2x * -5) = ax + b 4x + (-5 + -10x) = ax + b Reorder the terms: -5 + 4x + -10x = ax + b Combine like terms: 4x + -10x = -6x -5 + -6x = ax + b Solving -5 + -6x = 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. -5 + -1ax + -6x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -5 + -1ax + -6x = 0 + b -5 + -1ax + -6x = b Add '5' to each side of the equation. -5 + -1ax + 5 + -6x = 5 + b Reorder the terms: -5 + 5 + -1ax + -6x = 5 + b Combine like terms: -5 + 5 = 0 0 + -1ax + -6x = 5 + b -1ax + -6x = 5 + b Reorder the terms: -5 + -1ax + -1b + -6x = 5 + b + -5 + -1b Reorder the terms: -5 + -1ax + -1b + -6x = 5 + -5 + b + -1b Combine like terms: 5 + -5 = 0 -5 + -1ax + -1b + -6x = 0 + b + -1b -5 + -1ax + -1b + -6x = b + -1b Combine like terms: b + -1b = 0 -5 + -1ax + -1b + -6x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + ax + b + 6x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + ax + b + 6x)' equal to zero and attempt to solve: Simplifying 5 + ax + b + 6x = 0 Solving 5 + ax + b + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + ax + b + -5 + 6x = 0 + -5 Reorder the terms: 5 + -5 + ax + b + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + ax + b + 6x = 0 + -5 ax + b + 6x = 0 + -5 Combine like terms: 0 + -5 = -5 ax + b + 6x = -5 Add '-1b' to each side of the equation. ax + b + -1b + 6x = -5 + -1b Combine like terms: b + -1b = 0 ax + 0 + 6x = -5 + -1b ax + 6x = -5 + -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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