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Simplifying 12(x + -2y + 3z + -7) = 0 Reorder the terms: 12(-7 + x + -2y + 3z) = 0 (-7 * 12 + x * 12 + -2y * 12 + 3z * 12) = 0 (-84 + 12x + -24y + 36z) = 0 Solving -84 + 12x + -24y + 36z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 12x + -24y + 84 + 36z = 0 + 84 Reorder the terms: -84 + 84 + 12x + -24y + 36z = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 12x + -24y + 36z = 0 + 84 12x + -24y + 36z = 0 + 84 Combine like terms: 0 + 84 = 84 12x + -24y + 36z = 84 Add '24y' to each side of the equation. 12x + -24y + 24y + 36z = 84 + 24y Combine like terms: -24y + 24y = 0 12x + 0 + 36z = 84 + 24y 12x + 36z = 84 + 24y Add '-36z' to each side of the equation. 12x + 36z + -36z = 84 + 24y + -36z Combine like terms: 36z + -36z = 0 12x + 0 = 84 + 24y + -36z 12x = 84 + 24y + -36z Divide each side by '12'. x = 7 + 2y + -3z Simplifying x = 7 + 2y + -3z
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