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Simplifying 4x = (2x + -3)(m + 3) Reorder the terms: 4x = (-3 + 2x)(m + 3) Reorder the terms: 4x = (-3 + 2x)(3 + m) Multiply (-3 + 2x) * (3 + m) 4x = (-3(3 + m) + 2x * (3 + m)) 4x = ((3 * -3 + m * -3) + 2x * (3 + m)) 4x = ((-9 + -3m) + 2x * (3 + m)) 4x = (-9 + -3m + (3 * 2x + m * 2x)) Reorder the terms: 4x = (-9 + -3m + (2mx + 6x)) 4x = (-9 + -3m + (2mx + 6x)) 4x = (-9 + -3m + 2mx + 6x) Solving 4x = -9 + -3m + 2mx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2mx' to each side of the equation. -2mx + 4x = -9 + -3m + 2mx + -2mx + 6x Combine like terms: 2mx + -2mx = 0 -2mx + 4x = -9 + -3m + 0 + 6x -2mx + 4x = -9 + -3m + 6x Add '-6x' to each side of the equation. -2mx + 4x + -6x = -9 + -3m + 6x + -6x Combine like terms: 4x + -6x = -2x -2mx + -2x = -9 + -3m + 6x + -6x Combine like terms: 6x + -6x = 0 -2mx + -2x = -9 + -3m + 0 -2mx + -2x = -9 + -3m Reorder the terms: 9 + 3m + -2mx + -2x = -9 + -3m + 9 + 3m Reorder the terms: 9 + 3m + -2mx + -2x = -9 + 9 + -3m + 3m Combine like terms: -9 + 9 = 0 9 + 3m + -2mx + -2x = 0 + -3m + 3m 9 + 3m + -2mx + -2x = -3m + 3m Combine like terms: -3m + 3m = 0 9 + 3m + -2mx + -2x = 0 The solution to this equation could not be determined.
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