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Simplifying (2x + -3)(4z + -7) = 0 Reorder the terms: (-3 + 2x)(4z + -7) = 0 Reorder the terms: (-3 + 2x)(-7 + 4z) = 0 Multiply (-3 + 2x) * (-7 + 4z) (-3(-7 + 4z) + 2x * (-7 + 4z)) = 0 ((-7 * -3 + 4z * -3) + 2x * (-7 + 4z)) = 0 ((21 + -12z) + 2x * (-7 + 4z)) = 0 (21 + -12z + (-7 * 2x + 4z * 2x)) = 0 (21 + -12z + (-14x + 8xz)) = 0 Reorder the terms: (21 + -14x + 8xz + -12z) = 0 (21 + -14x + 8xz + -12z) = 0 Solving 21 + -14x + 8xz + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -14x + 8xz + -21 + -12z = 0 + -21 Reorder the terms: 21 + -21 + -14x + 8xz + -12z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -14x + 8xz + -12z = 0 + -21 -14x + 8xz + -12z = 0 + -21 Combine like terms: 0 + -21 = -21 -14x + 8xz + -12z = -21 Add '12z' to each side of the equation. -14x + 8xz + -12z + 12z = -21 + 12z Combine like terms: -12z + 12z = 0 -14x + 8xz + 0 = -21 + 12z -14x + 8xz = -21 + 12z Reorder the terms: 21 + -14x + 8xz + -12z = -21 + 12z + 21 + -12z Reorder the terms: 21 + -14x + 8xz + -12z = -21 + 21 + 12z + -12z Combine like terms: -21 + 21 = 0 21 + -14x + 8xz + -12z = 0 + 12z + -12z 21 + -14x + 8xz + -12z = 12z + -12z Combine like terms: 12z + -12z = 0 21 + -14x + 8xz + -12z = 0 The solution to this equation could not be determined.
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