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Simplifying 7x(3 + 2) = 7xn Combine like terms: 3 + 2 = 5 7x(5) = 7xn Reorder the terms for easier multiplication: 7 * 5x = 7xn Multiply 7 * 5 35x = 7xn Solving 35x = 7nx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7nx' to each side of the equation. -7nx + 35x = 7nx + -7nx Combine like terms: 7nx + -7nx = 0 -7nx + 35x = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-1n + 5) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1n + 5)' equal to zero and attempt to solve: Simplifying -1n + 5 = 0 Reorder the terms: 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Add 'n' to each side of the equation. -1n + n = -5 + n Combine like terms: -1n + n = 0 0 = -5 + n Simplifying 0 = -5 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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