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Simplifying 5.1z + 7.4 + -1.8x = -9.1 Reorder the terms: 7.4 + -1.8x + 5.1z = -9.1 Solving 7.4 + -1.8x + 5.1z = -9.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.4' to each side of the equation. 7.4 + -1.8x + -7.4 + 5.1z = -9.1 + -7.4 Reorder the terms: 7.4 + -7.4 + -1.8x + 5.1z = -9.1 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + -1.8x + 5.1z = -9.1 + -7.4 -1.8x + 5.1z = -9.1 + -7.4 Combine like terms: -9.1 + -7.4 = -16.5 -1.8x + 5.1z = -16.5 Add '-5.1z' to each side of the equation. -1.8x + 5.1z + -5.1z = -16.5 + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 -1.8x + 0.0 = -16.5 + -5.1z -1.8x = -16.5 + -5.1z Divide each side by '-1.8'. x = 9.166666667 + 2.833333333z Simplifying x = 9.166666667 + 2.833333333z
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