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Simplifying 5(2x + 6) = -4(5 + -2f) * 3x Reorder the terms: 5(6 + 2x) = -4(5 + -2f) * 3x (6 * 5 + 2x * 5) = -4(5 + -2f) * 3x (30 + 10x) = -4(5 + -2f) * 3x Reorder the terms for easier multiplication: 30 + 10x = -4 * 3x(5 + -2f) Multiply -4 * 3 30 + 10x = -12x(5 + -2f) 30 + 10x = (5 * -12x + -2f * -12x) Reorder the terms: 30 + 10x = (24fx + -60x) 30 + 10x = (24fx + -60x) Solving 30 + 10x = 24fx + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24fx' to each side of the equation. 30 + -24fx + 10x = 24fx + -24fx + -60x Combine like terms: 24fx + -24fx = 0 30 + -24fx + 10x = 0 + -60x 30 + -24fx + 10x = -60x Add '60x' to each side of the equation. 30 + -24fx + 10x + 60x = -60x + 60x Combine like terms: 10x + 60x = 70x 30 + -24fx + 70x = -60x + 60x Combine like terms: -60x + 60x = 0 30 + -24fx + 70x = 0 Add '-30' to each side of the equation. 30 + -24fx + -30 + 70x = 0 + -30 Reorder the terms: 30 + -30 + -24fx + 70x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -24fx + 70x = 0 + -30 -24fx + 70x = 0 + -30 Combine like terms: 0 + -30 = -30 -24fx + 70x = -30 Reorder the terms: 30 + -24fx + 70x = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -24fx + 70x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -12fx + 35x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -12fx + 35x)' equal to zero and attempt to solve: Simplifying 15 + -12fx + 35x = 0 Solving 15 + -12fx + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -12fx + -15 + 35x = 0 + -15 Reorder the terms: 15 + -15 + -12fx + 35x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -12fx + 35x = 0 + -15 -12fx + 35x = 0 + -15 Combine like terms: 0 + -15 = -15 -12fx + 35x = -15 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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