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Simplifying 15(-42x + 40) = 15(-8x + 244) * e Reorder the terms: 15(40 + -42x) = 15(-8x + 244) * e (40 * 15 + -42x * 15) = 15(-8x + 244) * e (600 + -630x) = 15(-8x + 244) * e Reorder the terms: 600 + -630x = 15(244 + -8x) * e Reorder the terms for easier multiplication: 600 + -630x = 15e(244 + -8x) 600 + -630x = (244 * 15e + -8x * 15e) 600 + -630x = (3660e + -120ex) Solving 600 + -630x = 3660e + -120ex Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120ex' to each side of the equation. 600 + 120ex + -630x = 3660e + -120ex + 120ex Combine like terms: -120ex + 120ex = 0 600 + 120ex + -630x = 3660e + 0 600 + 120ex + -630x = 3660e Add '-600' to each side of the equation. 600 + 120ex + -600 + -630x = -600 + 3660e Reorder the terms: 600 + -600 + 120ex + -630x = -600 + 3660e Combine like terms: 600 + -600 = 0 0 + 120ex + -630x = -600 + 3660e 120ex + -630x = -600 + 3660e Reorder the terms: 600 + -3660e + 120ex + -630x = -600 + 3660e + 600 + -3660e Reorder the terms: 600 + -3660e + 120ex + -630x = -600 + 600 + 3660e + -3660e Combine like terms: -600 + 600 = 0 600 + -3660e + 120ex + -630x = 0 + 3660e + -3660e 600 + -3660e + 120ex + -630x = 3660e + -3660e Combine like terms: 3660e + -3660e = 0 600 + -3660e + 120ex + -630x = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(20 + -122e + 4ex + -21x) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(20 + -122e + 4ex + -21x)' equal to zero and attempt to solve: Simplifying 20 + -122e + 4ex + -21x = 0 Solving 20 + -122e + 4ex + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -122e + 4ex + -20 + -21x = 0 + -20 Reorder the terms: 20 + -20 + -122e + 4ex + -21x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -122e + 4ex + -21x = 0 + -20 -122e + 4ex + -21x = 0 + -20 Combine like terms: 0 + -20 = -20 -122e + 4ex + -21x = -20 Add '122e' to each side of the equation. -122e + 4ex + 122e + -21x = -20 + 122e Reorder the terms: -122e + 122e + 4ex + -21x = -20 + 122e Combine like terms: -122e + 122e = 0 0 + 4ex + -21x = -20 + 122e 4ex + -21x = -20 + 122e 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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