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Simplifying 5x = (4x + 3)(m + 7) Reorder the terms: 5x = (3 + 4x)(m + 7) Reorder the terms: 5x = (3 + 4x)(7 + m) Multiply (3 + 4x) * (7 + m) 5x = (3(7 + m) + 4x * (7 + m)) 5x = ((7 * 3 + m * 3) + 4x * (7 + m)) 5x = ((21 + 3m) + 4x * (7 + m)) 5x = (21 + 3m + (7 * 4x + m * 4x)) Reorder the terms: 5x = (21 + 3m + (4mx + 28x)) 5x = (21 + 3m + (4mx + 28x)) 5x = (21 + 3m + 4mx + 28x) Solving 5x = 21 + 3m + 4mx + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4mx' to each side of the equation. -4mx + 5x = 21 + 3m + 4mx + -4mx + 28x Combine like terms: 4mx + -4mx = 0 -4mx + 5x = 21 + 3m + 0 + 28x -4mx + 5x = 21 + 3m + 28x Add '-28x' to each side of the equation. -4mx + 5x + -28x = 21 + 3m + 28x + -28x Combine like terms: 5x + -28x = -23x -4mx + -23x = 21 + 3m + 28x + -28x Combine like terms: 28x + -28x = 0 -4mx + -23x = 21 + 3m + 0 -4mx + -23x = 21 + 3m Reorder the terms: -21 + -3m + -4mx + -23x = 21 + 3m + -21 + -3m Reorder the terms: -21 + -3m + -4mx + -23x = 21 + -21 + 3m + -3m Combine like terms: 21 + -21 = 0 -21 + -3m + -4mx + -23x = 0 + 3m + -3m -21 + -3m + -4mx + -23x = 3m + -3m Combine like terms: 3m + -3m = 0 -21 + -3m + -4mx + -23x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(21 + 3m + 4mx + 23x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(21 + 3m + 4mx + 23x)' equal to zero and attempt to solve: Simplifying 21 + 3m + 4mx + 23x = 0 Solving 21 + 3m + 4mx + 23x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3m + 4mx + -21 + 23x = 0 + -21 Reorder the terms: 21 + -21 + 3m + 4mx + 23x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3m + 4mx + 23x = 0 + -21 3m + 4mx + 23x = 0 + -21 Combine like terms: 0 + -21 = -21 3m + 4mx + 23x = -21 Add '-3m' to each side of the equation. 3m + 4mx + -3m + 23x = -21 + -3m Reorder the terms: 3m + -3m + 4mx + 23x = -21 + -3m Combine like terms: 3m + -3m = 0 0 + 4mx + 23x = -21 + -3m 4mx + 23x = -21 + -3m 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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