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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 The solution to this equation could not be determined.
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