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Simplifying 3BX + 6BC = 7BX + SBC Reorder the terms: 6BC + 3BX = 7BX + SBC Reorder the terms: 6BC + 3BX = BCS + 7BX Solving 6BC + 3BX = BCS + 7BX Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1BCS' to each side of the equation. 6BC + -1BCS + 3BX = BCS + -1BCS + 7BX Combine like terms: BCS + -1BCS = 0 6BC + -1BCS + 3BX = 0 + 7BX 6BC + -1BCS + 3BX = 7BX Add '-7BX' to each side of the equation. 6BC + -1BCS + 3BX + -7BX = 7BX + -7BX Combine like terms: 3BX + -7BX = -4BX 6BC + -1BCS + -4BX = 7BX + -7BX Combine like terms: 7BX + -7BX = 0 6BC + -1BCS + -4BX = 0 Factor out the Greatest Common Factor (GCF), 'B'. B(6C + -1CS + -4X) = 0Subproblem 1
Set the factor 'B' equal to zero and attempt to solve: Simplifying B = 0 Solving B = 0 Move all terms containing B to the left, all other terms to the right. Simplifying B = 0Subproblem 2
Set the factor '(6C + -1CS + -4X)' equal to zero and attempt to solve: Simplifying 6C + -1CS + -4X = 0 Solving 6C + -1CS + -4X = 0 Move all terms containing B to the left, all other terms to the right. Add '-6C' to each side of the equation. 6C + -1CS + -6C + -4X = 0 + -6C Reorder the terms: 6C + -6C + -1CS + -4X = 0 + -6C Combine like terms: 6C + -6C = 0 0 + -1CS + -4X = 0 + -6C -1CS + -4X = 0 + -6C Remove the zero: -1CS + -4X = -6C Add 'CS' to each side of the equation. -1CS + CS + -4X = -6C + CS Combine like terms: -1CS + CS = 0 0 + -4X = -6C + CS -4X = -6C + CS Add '4X' to each side of the equation. -4X + 4X = -6C + CS + 4X Combine like terms: -4X + 4X = 0 0 = -6C + CS + 4X Simplifying 0 = -6C + CS + 4X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
B = {0}
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