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Simplifying 7(4x + 5y + 3z + -9) = 0 Reorder the terms: 7(-9 + 4x + 5y + 3z) = 0 (-9 * 7 + 4x * 7 + 5y * 7 + 3z * 7) = 0 (-63 + 28x + 35y + 21z) = 0 Solving -63 + 28x + 35y + 21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 28x + 35y + 63 + 21z = 0 + 63 Reorder the terms: -63 + 63 + 28x + 35y + 21z = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 28x + 35y + 21z = 0 + 63 28x + 35y + 21z = 0 + 63 Combine like terms: 0 + 63 = 63 28x + 35y + 21z = 63 Add '-35y' to each side of the equation. 28x + 35y + -35y + 21z = 63 + -35y Combine like terms: 35y + -35y = 0 28x + 0 + 21z = 63 + -35y 28x + 21z = 63 + -35y Add '-21z' to each side of the equation. 28x + 21z + -21z = 63 + -35y + -21z Combine like terms: 21z + -21z = 0 28x + 0 = 63 + -35y + -21z 28x = 63 + -35y + -21z Divide each side by '28'. x = 2.25 + -1.25y + -0.75z Simplifying x = 2.25 + -1.25y + -0.75z
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