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Simplifying 12z + 5x + 7 + -13z + 4x = 0 Reorder the terms: 7 + 5x + 4x + 12z + -13z = 0 Combine like terms: 5x + 4x = 9x 7 + 9x + 12z + -13z = 0 Combine like terms: 12z + -13z = -1z 7 + 9x + -1z = 0 Solving 7 + 9x + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 9x + -7 + -1z = 0 + -7 Reorder the terms: 7 + -7 + 9x + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x + -1z = 0 + -7 9x + -1z = 0 + -7 Combine like terms: 0 + -7 = -7 9x + -1z = -7 Add 'z' to each side of the equation. 9x + -1z + z = -7 + z Combine like terms: -1z + z = 0 9x + 0 = -7 + z 9x = -7 + z Divide each side by '9'. x = -0.7777777778 + 0.1111111111z Simplifying x = -0.7777777778 + 0.1111111111z
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