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Simplifying 5(b + -4x) = b + 2bx (b * 5 + -4x * 5) = b + 2bx (5b + -20x) = b + 2bx Solving 5b + -20x = b + 2bx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 5b + -1b + -20x = b + -1b + 2bx Combine like terms: 5b + -1b = 4b 4b + -20x = b + -1b + 2bx Combine like terms: b + -1b = 0 4b + -20x = 0 + 2bx 4b + -20x = 2bx Add '-2bx' to each side of the equation. 4b + -2bx + -20x = 2bx + -2bx Combine like terms: 2bx + -2bx = 0 4b + -2bx + -20x = 0 Add '20x' to each side of the equation. 4b + -2bx + -20x + 20x = 0 + 20x Combine like terms: -20x + 20x = 0 4b + -2bx + 0 = 0 + 20x 4b + -2bx = 0 + 20x Remove the zero: 4b + -2bx = 20x Combine like terms: 20x + -20x = 0 4b + -2bx + -20x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2b + -1bx + -10x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2b + -1bx + -10x)' equal to zero and attempt to solve: Simplifying 2b + -1bx + -10x = 0 Solving 2b + -1bx + -10x = 0 Move all terms containing b to the left, all other terms to the right. Add '10x' to each side of the equation. 2b + -1bx + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 2b + -1bx + 0 = 0 + 10x 2b + -1bx = 0 + 10x Remove the zero: 2b + -1bx = 10x 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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