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Simplifying 2.5x + 1.8z + 1.6x + 0.9z = 0 Reorder the terms: 2.5x + 1.6x + 1.8z + 0.9z = 0 Combine like terms: 2.5x + 1.6x = 4.1x 4.1x + 1.8z + 0.9z = 0 Combine like terms: 1.8z + 0.9z = 2.7z 4.1x + 2.7z = 0 Solving 4.1x + 2.7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7z' to each side of the equation. 4.1x + 2.7z + -2.7z = 0 + -2.7z Combine like terms: 2.7z + -2.7z = 0.0 4.1x + 0.0 = 0 + -2.7z 4.1x = 0 + -2.7z Remove the zero: 4.1x = -2.7z Divide each side by '4.1'. x = -0.6585365854z Simplifying x = -0.6585365854z
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