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Simplifying -11 + -5x = 6b(5x + 4) Reorder the terms: -11 + -5x = 6b(4 + 5x) -11 + -5x = (4 * 6b + 5x * 6b) -11 + -5x = (24b + 30bx) Solving -11 + -5x = 24b + 30bx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30bx' to each side of the equation. -11 + -30bx + -5x = 24b + 30bx + -30bx Combine like terms: 30bx + -30bx = 0 -11 + -30bx + -5x = 24b + 0 -11 + -30bx + -5x = 24b Add '11' to each side of the equation. -11 + -30bx + 11 + -5x = 11 + 24b Reorder the terms: -11 + 11 + -30bx + -5x = 11 + 24b Combine like terms: -11 + 11 = 0 0 + -30bx + -5x = 11 + 24b -30bx + -5x = 11 + 24b Reorder the terms: -11 + -24b + -30bx + -5x = 11 + 24b + -11 + -24b Reorder the terms: -11 + -24b + -30bx + -5x = 11 + -11 + 24b + -24b Combine like terms: 11 + -11 = 0 -11 + -24b + -30bx + -5x = 0 + 24b + -24b -11 + -24b + -30bx + -5x = 24b + -24b Combine like terms: 24b + -24b = 0 -11 + -24b + -30bx + -5x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(11 + 24b + 30bx + 5x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + 24b + 30bx + 5x)' equal to zero and attempt to solve: Simplifying 11 + 24b + 30bx + 5x = 0 Solving 11 + 24b + 30bx + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 24b + 30bx + -11 + 5x = 0 + -11 Reorder the terms: 11 + -11 + 24b + 30bx + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 24b + 30bx + 5x = 0 + -11 24b + 30bx + 5x = 0 + -11 Combine like terms: 0 + -11 = -11 24b + 30bx + 5x = -11 Add '-24b' to each side of the equation. 24b + 30bx + -24b + 5x = -11 + -24b Reorder the terms: 24b + -24b + 30bx + 5x = -11 + -24b Combine like terms: 24b + -24b = 0 0 + 30bx + 5x = -11 + -24b 30bx + 5x = -11 + -24b 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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