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Simplifying 6x4 = 42x3 Solving 6x4 = 42x3 Solving for variable 'x'. Reorder the terms: -42x3 + 6x4 = 42x3 + -42x3 Combine like terms: 42x3 + -42x3 = 0 -42x3 + 6x4 = 0 Factor out the Greatest Common Factor (GCF), '6x3'. 6x3(-7 + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {7}
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