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Simplifying 2x + 34 = 4(x + 5) * e Reorder the terms: 34 + 2x = 4(x + 5) * e Reorder the terms: 34 + 2x = 4(5 + x) * e Reorder the terms for easier multiplication: 34 + 2x = 4e(5 + x) 34 + 2x = (5 * 4e + x * 4e) 34 + 2x = (20e + 4ex) Solving 34 + 2x = 20e + 4ex Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4ex' to each side of the equation. 34 + -4ex + 2x = 20e + 4ex + -4ex Combine like terms: 4ex + -4ex = 0 34 + -4ex + 2x = 20e + 0 34 + -4ex + 2x = 20e Add '-34' to each side of the equation. 34 + -4ex + -34 + 2x = -34 + 20e Reorder the terms: 34 + -34 + -4ex + 2x = -34 + 20e Combine like terms: 34 + -34 = 0 0 + -4ex + 2x = -34 + 20e -4ex + 2x = -34 + 20e Reorder the terms: 34 + -20e + -4ex + 2x = -34 + 20e + 34 + -20e Reorder the terms: 34 + -20e + -4ex + 2x = -34 + 34 + 20e + -20e Combine like terms: -34 + 34 = 0 34 + -20e + -4ex + 2x = 0 + 20e + -20e 34 + -20e + -4ex + 2x = 20e + -20e Combine like terms: 20e + -20e = 0 34 + -20e + -4ex + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(17 + -10e + -2ex + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -10e + -2ex + x)' equal to zero and attempt to solve: Simplifying 17 + -10e + -2ex + x = 0 Solving 17 + -10e + -2ex + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -10e + -2ex + -17 + x = 0 + -17 Reorder the terms: 17 + -17 + -10e + -2ex + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -10e + -2ex + x = 0 + -17 -10e + -2ex + x = 0 + -17 Combine like terms: 0 + -17 = -17 -10e + -2ex + x = -17 Add '10e' to each side of the equation. -10e + -2ex + 10e + x = -17 + 10e Reorder the terms: -10e + 10e + -2ex + x = -17 + 10e Combine like terms: -10e + 10e = 0 0 + -2ex + x = -17 + 10e -2ex + x = -17 + 10e 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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