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Simplifying 3 + -4x + 5y + 9z = 6 Solving 3 + -4x + 5y + 9z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4x + 5y + -3 + 9z = 6 + -3 Reorder the terms: 3 + -3 + -4x + 5y + 9z = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -4x + 5y + 9z = 6 + -3 -4x + 5y + 9z = 6 + -3 Combine like terms: 6 + -3 = 3 -4x + 5y + 9z = 3 Add '-5y' to each side of the equation. -4x + 5y + -5y + 9z = 3 + -5y Combine like terms: 5y + -5y = 0 -4x + 0 + 9z = 3 + -5y -4x + 9z = 3 + -5y Add '-9z' to each side of the equation. -4x + 9z + -9z = 3 + -5y + -9z Combine like terms: 9z + -9z = 0 -4x + 0 = 3 + -5y + -9z -4x = 3 + -5y + -9z Divide each side by '-4'. x = -0.75 + 1.25y + 2.25z Simplifying x = -0.75 + 1.25y + 2.25z
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