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Simplifying 4[z(x + 3) + 7] + -5x = 61 Reorder the terms: 4[z(3 + x) + 7] + -5x = 61 4[(3 * z + x * z) + 7] + -5x = 61 Reorder the terms: 4[(xz + 3z) + 7] + -5x = 61 4[(xz + 3z) + 7] + -5x = 61 Reorder the terms: 4[7 + xz + 3z] + -5x = 61 [7 * 4 + xz * 4 + 3z * 4] + -5x = 61 [28 + 4xz + 12z] + -5x = 61 Reorder the terms: 28 + -5x + 4xz + 12z = 61 Solving 28 + -5x + 4xz + 12z = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -5x + 4xz + -28 + 12z = 61 + -28 Reorder the terms: 28 + -28 + -5x + 4xz + 12z = 61 + -28 Combine like terms: 28 + -28 = 0 0 + -5x + 4xz + 12z = 61 + -28 -5x + 4xz + 12z = 61 + -28 Combine like terms: 61 + -28 = 33 -5x + 4xz + 12z = 33 Add '-12z' to each side of the equation. -5x + 4xz + 12z + -12z = 33 + -12z Combine like terms: 12z + -12z = 0 -5x + 4xz + 0 = 33 + -12z -5x + 4xz = 33 + -12z Reorder the terms: -33 + -5x + 4xz + 12z = 33 + -12z + -33 + 12z Reorder the terms: -33 + -5x + 4xz + 12z = 33 + -33 + -12z + 12z Combine like terms: 33 + -33 = 0 -33 + -5x + 4xz + 12z = 0 + -12z + 12z -33 + -5x + 4xz + 12z = -12z + 12z Combine like terms: -12z + 12z = 0 -33 + -5x + 4xz + 12z = 0 The solution to this equation could not be determined.
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