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Simplifying 6x(5z + 3) + 7(5z + 3) = 0 Reorder the terms: 6x(3 + 5z) + 7(5z + 3) = 0 (3 * 6x + 5z * 6x) + 7(5z + 3) = 0 (18x + 30xz) + 7(5z + 3) = 0 Reorder the terms: 18x + 30xz + 7(3 + 5z) = 0 18x + 30xz + (3 * 7 + 5z * 7) = 0 18x + 30xz + (21 + 35z) = 0 Reorder the terms: 21 + 18x + 30xz + 35z = 0 Solving 21 + 18x + 30xz + 35z = 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 + 18x + 30xz + -21 + 35z = 0 + -21 Reorder the terms: 21 + -21 + 18x + 30xz + 35z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 18x + 30xz + 35z = 0 + -21 18x + 30xz + 35z = 0 + -21 Combine like terms: 0 + -21 = -21 18x + 30xz + 35z = -21 Add '-35z' to each side of the equation. 18x + 30xz + 35z + -35z = -21 + -35z Combine like terms: 35z + -35z = 0 18x + 30xz + 0 = -21 + -35z 18x + 30xz = -21 + -35z Reorder the terms: 21 + 18x + 30xz + 35z = -21 + -35z + 21 + 35z Reorder the terms: 21 + 18x + 30xz + 35z = -21 + 21 + -35z + 35z Combine like terms: -21 + 21 = 0 21 + 18x + 30xz + 35z = 0 + -35z + 35z 21 + 18x + 30xz + 35z = -35z + 35z Combine like terms: -35z + 35z = 0 21 + 18x + 30xz + 35z = 0 The solution to this equation could not be determined.
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