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Simplifying 7(4x + 5y + 3z) = 0 (4x * 7 + 5y * 7 + 3z * 7) = 0 (28x + 35y + 21z) = 0 Solving 28x + 35y + 21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 28x + 35y + -35y + 21z = 0 + -35y Combine like terms: 35y + -35y = 0 28x + 0 + 21z = 0 + -35y 28x + 21z = 0 + -35y Remove the zero: 28x + 21z = -35y Add '-21z' to each side of the equation. 28x + 21z + -21z = -35y + -21z Combine like terms: 21z + -21z = 0 28x + 0 = -35y + -21z 28x = -35y + -21z Divide each side by '28'. x = -1.25y + -0.75z Simplifying x = -1.25y + -0.75z
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