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