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Simplifying 3x + 2x + x = 180findx Combine like terms: 3x + 2x = 5x 5x + x = 180findx Combine like terms: 5x + x = 6x 6x = 180findx Solving 6x = 180dfinx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180dfinx' to each side of the equation. -180dfinx + 6x = 180dfinx + -180dfinx Combine like terms: 180dfinx + -180dfinx = 0 -180dfinx + 6x = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-30dfin + 1) = 0 Ignore the factor 6.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 '(-30dfin + 1)' equal to zero and attempt to solve: Simplifying -30dfin + 1 = 0 Reorder the terms: 1 + -30dfin = 0 Solving 1 + -30dfin = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -30dfin = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -30dfin = 0 + -1 -30dfin = 0 + -1 Combine like terms: 0 + -1 = -1 -30dfin = -1 Add '30dfin' to each side of the equation. -30dfin + 30dfin = -1 + 30dfin Combine like terms: -30dfin + 30dfin = 0 0 = -1 + 30dfin Simplifying 0 = -1 + 30dfin 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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