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Simplifying 2b + 4(b + -6) = -2(2b + -14) * x Reorder the terms: 2b + 4(-6 + b) = -2(2b + -14) * x 2b + (-6 * 4 + b * 4) = -2(2b + -14) * x 2b + (-24 + 4b) = -2(2b + -14) * x Reorder the terms: -24 + 2b + 4b = -2(2b + -14) * x Combine like terms: 2b + 4b = 6b -24 + 6b = -2(2b + -14) * x Reorder the terms: -24 + 6b = -2(-14 + 2b) * x Reorder the terms for easier multiplication: -24 + 6b = -2x(-14 + 2b) -24 + 6b = (-14 * -2x + 2b * -2x) Reorder the terms: -24 + 6b = (-4bx + 28x) -24 + 6b = (-4bx + 28x) Solving -24 + 6b = -4bx + 28x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4bx' to each side of the equation. -24 + 6b + 4bx = -4bx + 4bx + 28x Combine like terms: -4bx + 4bx = 0 -24 + 6b + 4bx = 0 + 28x -24 + 6b + 4bx = 28x Add '24' to each side of the equation. -24 + 6b + 24 + 4bx = 24 + 28x Reorder the terms: -24 + 24 + 6b + 4bx = 24 + 28x Combine like terms: -24 + 24 = 0 0 + 6b + 4bx = 24 + 28x 6b + 4bx = 24 + 28x Reorder the terms: -24 + 6b + 4bx + -28x = 24 + 28x + -24 + -28x Reorder the terms: -24 + 6b + 4bx + -28x = 24 + -24 + 28x + -28x Combine like terms: 24 + -24 = 0 -24 + 6b + 4bx + -28x = 0 + 28x + -28x -24 + 6b + 4bx + -28x = 28x + -28x Combine like terms: 28x + -28x = 0 -24 + 6b + 4bx + -28x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 3b + 2bx + -14x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 3b + 2bx + -14x)' equal to zero and attempt to solve: Simplifying -12 + 3b + 2bx + -14x = 0 Solving -12 + 3b + 2bx + -14x = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3b + 2bx + 12 + -14x = 0 + 12 Reorder the terms: -12 + 12 + 3b + 2bx + -14x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3b + 2bx + -14x = 0 + 12 3b + 2bx + -14x = 0 + 12 Combine like terms: 0 + 12 = 12 3b + 2bx + -14x = 12 Add '14x' to each side of the equation. 3b + 2bx + -14x + 14x = 12 + 14x Combine like terms: -14x + 14x = 0 3b + 2bx + 0 = 12 + 14x 3b + 2bx = 12 + 14x 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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