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Simplifying x + 2x + 102 = 180findx Reorder the terms: 102 + x + 2x = 180findx Combine like terms: x + 2x = 3x 102 + 3x = 180findx Solving 102 + 3x = 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. 102 + -180dfinx + 3x = 180dfinx + -180dfinx Combine like terms: 180dfinx + -180dfinx = 0 102 + -180dfinx + 3x = 0 Add '-102' to each side of the equation. 102 + -180dfinx + -102 + 3x = 0 + -102 Reorder the terms: 102 + -102 + -180dfinx + 3x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -180dfinx + 3x = 0 + -102 -180dfinx + 3x = 0 + -102 Combine like terms: 0 + -102 = -102 -180dfinx + 3x = -102 Reorder the terms: 102 + -180dfinx + 3x = -102 + 102 Combine like terms: -102 + 102 = 0 102 + -180dfinx + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(34 + -60dfinx + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(34 + -60dfinx + x)' equal to zero and attempt to solve: Simplifying 34 + -60dfinx + x = 0 Solving 34 + -60dfinx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -60dfinx + -34 + x = 0 + -34 Reorder the terms: 34 + -34 + -60dfinx + x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -60dfinx + x = 0 + -34 -60dfinx + x = 0 + -34 Combine like terms: 0 + -34 = -34 -60dfinx + x = -34 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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