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Simplifying 3(6x + 4y + -7z + -4) = 0 Reorder the terms: 3(-4 + 6x + 4y + -7z) = 0 (-4 * 3 + 6x * 3 + 4y * 3 + -7z * 3) = 0 (-12 + 18x + 12y + -21z) = 0 Solving -12 + 18x + 12y + -21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 18x + 12y + 12 + -21z = 0 + 12 Reorder the terms: -12 + 12 + 18x + 12y + -21z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18x + 12y + -21z = 0 + 12 18x + 12y + -21z = 0 + 12 Combine like terms: 0 + 12 = 12 18x + 12y + -21z = 12 Add '-12y' to each side of the equation. 18x + 12y + -12y + -21z = 12 + -12y Combine like terms: 12y + -12y = 0 18x + 0 + -21z = 12 + -12y 18x + -21z = 12 + -12y Add '21z' to each side of the equation. 18x + -21z + 21z = 12 + -12y + 21z Combine like terms: -21z + 21z = 0 18x + 0 = 12 + -12y + 21z 18x = 12 + -12y + 21z Divide each side by '18'. x = 0.6666666667 + -0.6666666667y + 1.166666667z Simplifying x = 0.6666666667 + -0.6666666667y + 1.166666667z
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