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Simplifying 8E(x + 4) = 3E(x + 7) Reorder the terms: 8E(4 + x) = 3E(x + 7) (4 * 8E + x * 8E) = 3E(x + 7) (32E + 8xE) = 3E(x + 7) Reorder the terms: 32E + 8xE = 3E(7 + x) 32E + 8xE = (7 * 3E + x * 3E) 32E + 8xE = (21E + 3xE) Solving 32E + 8xE = 21E + 3xE Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add '-21E' to each side of the equation. 32E + -21E + 8xE = 21E + -21E + 3xE Combine like terms: 32E + -21E = 11E 11E + 8xE = 21E + -21E + 3xE Combine like terms: 21E + -21E = 0 11E + 8xE = 0 + 3xE 11E + 8xE = 3xE Add '-3xE' to each side of the equation. 11E + 8xE + -3xE = 3xE + -3xE Combine like terms: 8xE + -3xE = 5xE 11E + 5xE = 3xE + -3xE Combine like terms: 3xE + -3xE = 0 11E + 5xE = 0 Factor out the Greatest Common Factor (GCF), 'E'. E(11 + 5x) = 0Subproblem 1
Set the factor 'E' equal to zero and attempt to solve: Simplifying E = 0 Solving E = 0 Move all terms containing E to the left, all other terms to the right. Simplifying E = 0Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 0 Move all terms containing E to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Add '-5x' to each side of the equation. 5x + -5x = -11 + -5x Combine like terms: 5x + -5x = 0 0 = -11 + -5x Simplifying 0 = -11 + -5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
E = {0}
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