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Simplifying 7x = 4x + -15Whatisx Reorder the terms: 7x = -15ahistxW + 4x Solving 7x = -15ahistxW + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15ahistxW' to each side of the equation. 15ahistxW + 7x = -15ahistxW + 15ahistxW + 4x Combine like terms: -15ahistxW + 15ahistxW = 0 15ahistxW + 7x = 0 + 4x 15ahistxW + 7x = 4x Add '-4x' to each side of the equation. 15ahistxW + 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 15ahistxW + 3x = 4x + -4x Combine like terms: 4x + -4x = 0 15ahistxW + 3x = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(5ahistW + 1) = 0 Ignore the factor 3.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 '(5ahistW + 1)' equal to zero and attempt to solve: Simplifying 5ahistW + 1 = 0 Reorder the terms: 1 + 5ahistW = 0 Solving 1 + 5ahistW = 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 + 5ahistW = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5ahistW = 0 + -1 5ahistW = 0 + -1 Combine like terms: 0 + -1 = -1 5ahistW = -1 Add '-5ahistW' to each side of the equation. 5ahistW + -5ahistW = -1 + -5ahistW Combine like terms: 5ahistW + -5ahistW = 0 0 = -1 + -5ahistW Simplifying 0 = -1 + -5ahistW 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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