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Simplifying 4x + -10y + 1z = -34 Solving 4x + -10y + 1z = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 4x + -10y + 10y + 1z = -34 + 10y Combine like terms: -10y + 10y = 0 4x + 0 + 1z = -34 + 10y 4x + 1z = -34 + 10y Add '-1z' to each side of the equation. 4x + 1z + -1z = -34 + 10y + -1z Combine like terms: 1z + -1z = 0 4x + 0 = -34 + 10y + -1z 4x = -34 + 10y + -1z Divide each side by '4'. x = -8.5 + 2.5y + -0.25z Simplifying x = -8.5 + 2.5y + -0.25z
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