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Simplifying mx + 1 = 3x2 + 5x + 4 Reorder the terms: 1 + mx = 3x2 + 5x + 4 Reorder the terms: 1 + mx = 4 + 5x + 3x2 Solving 1 + mx = 4 + 5x + 3x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + mx = 4 + 5x + -1 + 3x2 Combine like terms: 1 + -1 = 0 0 + mx = 4 + 5x + -1 + 3x2 mx = 4 + 5x + -1 + 3x2 Reorder the terms: mx = 4 + -1 + 5x + 3x2 Combine like terms: 4 + -1 = 3 mx = 3 + 5x + 3x2 Divide each side by 'x'. m = 3x-1 + 5 + 3x Simplifying m = 3x-1 + 5 + 3x Reorder the terms: m = 5 + 3x-1 + 3x
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