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Simplifying 5x = (4x + 3)(m + 3) Reorder the terms: 5x = (3 + 4x)(m + 3) Reorder the terms: 5x = (3 + 4x)(3 + m) Multiply (3 + 4x) * (3 + m) 5x = (3(3 + m) + 4x * (3 + m)) 5x = ((3 * 3 + m * 3) + 4x * (3 + m)) 5x = ((9 + 3m) + 4x * (3 + m)) 5x = (9 + 3m + (3 * 4x + m * 4x)) Reorder the terms: 5x = (9 + 3m + (4mx + 12x)) 5x = (9 + 3m + (4mx + 12x)) 5x = (9 + 3m + 4mx + 12x) Solving 5x = 9 + 3m + 4mx + 12x 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 = 9 + 3m + 4mx + -4mx + 12x Combine like terms: 4mx + -4mx = 0 -4mx + 5x = 9 + 3m + 0 + 12x -4mx + 5x = 9 + 3m + 12x Add '-12x' to each side of the equation. -4mx + 5x + -12x = 9 + 3m + 12x + -12x Combine like terms: 5x + -12x = -7x -4mx + -7x = 9 + 3m + 12x + -12x Combine like terms: 12x + -12x = 0 -4mx + -7x = 9 + 3m + 0 -4mx + -7x = 9 + 3m Reorder the terms: -9 + -3m + -4mx + -7x = 9 + 3m + -9 + -3m Reorder the terms: -9 + -3m + -4mx + -7x = 9 + -9 + 3m + -3m Combine like terms: 9 + -9 = 0 -9 + -3m + -4mx + -7x = 0 + 3m + -3m -9 + -3m + -4mx + -7x = 3m + -3m Combine like terms: 3m + -3m = 0 -9 + -3m + -4mx + -7x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 3m + 4mx + 7x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 3m + 4mx + 7x)' equal to zero and attempt to solve: Simplifying 9 + 3m + 4mx + 7x = 0 Solving 9 + 3m + 4mx + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3m + 4mx + -9 + 7x = 0 + -9 Reorder the terms: 9 + -9 + 3m + 4mx + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3m + 4mx + 7x = 0 + -9 3m + 4mx + 7x = 0 + -9 Combine like terms: 0 + -9 = -9 3m + 4mx + 7x = -9 Add '-3m' to each side of the equation. 3m + 4mx + -3m + 7x = -9 + -3m Reorder the terms: 3m + -3m + 4mx + 7x = -9 + -3m Combine like terms: 3m + -3m = 0 0 + 4mx + 7x = -9 + -3m 4mx + 7x = -9 + -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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