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Simplifying 3(-6x + -5y + -7z + -6) = 0 Reorder the terms: 3(-6 + -6x + -5y + -7z) = 0 (-6 * 3 + -6x * 3 + -5y * 3 + -7z * 3) = 0 (-18 + -18x + -15y + -21z) = 0 Solving -18 + -18x + -15y + -21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -18x + -15y + 18 + -21z = 0 + 18 Reorder the terms: -18 + 18 + -18x + -15y + -21z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -18x + -15y + -21z = 0 + 18 -18x + -15y + -21z = 0 + 18 Combine like terms: 0 + 18 = 18 -18x + -15y + -21z = 18 Add '15y' to each side of the equation. -18x + -15y + 15y + -21z = 18 + 15y Combine like terms: -15y + 15y = 0 -18x + 0 + -21z = 18 + 15y -18x + -21z = 18 + 15y Add '21z' to each side of the equation. -18x + -21z + 21z = 18 + 15y + 21z Combine like terms: -21z + 21z = 0 -18x + 0 = 18 + 15y + 21z -18x = 18 + 15y + 21z Divide each side by '-18'. x = -1 + -0.8333333333y + -1.166666667z Simplifying x = -1 + -0.8333333333y + -1.166666667z
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