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Simplifying 15x + -17y + 17y + -1x + 1z + 2x + 6z = 0 Reorder the terms: 15x + -1x + 2x + -17y + 17y + 1z + 6z = 0 Combine like terms: 15x + -1x = 14x 14x + 2x + -17y + 17y + 1z + 6z = 0 Combine like terms: 14x + 2x = 16x 16x + -17y + 17y + 1z + 6z = 0 Combine like terms: -17y + 17y = 0 16x + 0 + 1z + 6z = 0 16x + 1z + 6z = 0 Combine like terms: 1z + 6z = 7z 16x + 7z = 0 Solving 16x + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7z' to each side of the equation. 16x + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 16x + 0 = 0 + -7z 16x = 0 + -7z Remove the zero: 16x = -7z Divide each side by '16'. x = -0.4375z Simplifying x = -0.4375z
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