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Simplifying 4x + 2y + -7(4x + -7y + 3z) = 0 4x + 2y + (4x * -7 + -7y * -7 + 3z * -7) = 0 4x + 2y + (-28x + 49y + -21z) = 0 Reorder the terms: 4x + -28x + 2y + 49y + -21z = 0 Combine like terms: 4x + -28x = -24x -24x + 2y + 49y + -21z = 0 Combine like terms: 2y + 49y = 51y -24x + 51y + -21z = 0 Solving -24x + 51y + -21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -24x + 51y + -51y + -21z = 0 + -51y Combine like terms: 51y + -51y = 0 -24x + 0 + -21z = 0 + -51y -24x + -21z = 0 + -51y Remove the zero: -24x + -21z = -51y Add '21z' to each side of the equation. -24x + -21z + 21z = -51y + 21z Combine like terms: -21z + 21z = 0 -24x + 0 = -51y + 21z -24x = -51y + 21z Divide each side by '-24'. x = 2.125y + -0.875z Simplifying x = 2.125y + -0.875z
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