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Simplifying 12x + 64 = 24forx Reorder the terms: 64 + 12x = 24forx Solving 64 + 12x = 24forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24forx' to each side of the equation. 64 + -24forx + 12x = 24forx + -24forx Combine like terms: 24forx + -24forx = 0 64 + -24forx + 12x = 0 Add '-64' to each side of the equation. 64 + -24forx + -64 + 12x = 0 + -64 Reorder the terms: 64 + -64 + -24forx + 12x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -24forx + 12x = 0 + -64 -24forx + 12x = 0 + -64 Combine like terms: 0 + -64 = -64 -24forx + 12x = -64 Reorder the terms: 64 + -24forx + 12x = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -24forx + 12x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -6forx + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + -6forx + 3x)' equal to zero and attempt to solve: Simplifying 16 + -6forx + 3x = 0 Solving 16 + -6forx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -6forx + -16 + 3x = 0 + -16 Reorder the terms: 16 + -16 + -6forx + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6forx + 3x = 0 + -16 -6forx + 3x = 0 + -16 Combine like terms: 0 + -16 = -16 -6forx + 3x = -16 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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