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Simplifying 2x + 3x + -4x = 2x + -30findx Combine like terms: 2x + 3x = 5x 5x + -4x = 2x + -30findx Combine like terms: 5x + -4x = 1x 1x = 2x + -30findx Reorder the terms: 1x = -30dfinx + 2x Solving 1x = -30dfinx + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30dfinx' to each side of the equation. 30dfinx + 1x = -30dfinx + 30dfinx + 2x Combine like terms: -30dfinx + 30dfinx = 0 30dfinx + 1x = 0 + 2x 30dfinx + 1x = 2x Add '-2x' to each side of the equation. 30dfinx + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x 30dfinx + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 30dfinx + -1x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(30dfin + -1) = 0Subproblem 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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