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Simplifying 1x + -4y + 5x + -9z = 34x Reorder the terms: 1x + 5x + -4y + -9z = 34x Combine like terms: 1x + 5x = 6x 6x + -4y + -9z = 34x Solving 6x + -4y + -9z = 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 6x + -4y + -34x + -9z = 34x + -34x Reorder the terms: 6x + -34x + -4y + -9z = 34x + -34x Combine like terms: 6x + -34x = -28x -28x + -4y + -9z = 34x + -34x Combine like terms: 34x + -34x = 0 -28x + -4y + -9z = 0 Add '4y' to each side of the equation. -28x + -4y + 4y + -9z = 0 + 4y Combine like terms: -4y + 4y = 0 -28x + 0 + -9z = 0 + 4y -28x + -9z = 0 + 4y Remove the zero: -28x + -9z = 4y Add '9z' to each side of the equation. -28x + -9z + 9z = 4y + 9z Combine like terms: -9z + 9z = 0 -28x + 0 = 4y + 9z -28x = 4y + 9z Divide each side by '-28'. x = -0.1428571429y + -0.3214285714z Simplifying x = -0.1428571429y + -0.3214285714z
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