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Simplifying -7(3x + 4y + -11z + 8) = 0 Reorder the terms: -7(8 + 3x + 4y + -11z) = 0 (8 * -7 + 3x * -7 + 4y * -7 + -11z * -7) = 0 (-56 + -21x + -28y + 77z) = 0 Solving -56 + -21x + -28y + 77z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + -21x + -28y + 56 + 77z = 0 + 56 Reorder the terms: -56 + 56 + -21x + -28y + 77z = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -21x + -28y + 77z = 0 + 56 -21x + -28y + 77z = 0 + 56 Combine like terms: 0 + 56 = 56 -21x + -28y + 77z = 56 Add '28y' to each side of the equation. -21x + -28y + 28y + 77z = 56 + 28y Combine like terms: -28y + 28y = 0 -21x + 0 + 77z = 56 + 28y -21x + 77z = 56 + 28y Add '-77z' to each side of the equation. -21x + 77z + -77z = 56 + 28y + -77z Combine like terms: 77z + -77z = 0 -21x + 0 = 56 + 28y + -77z -21x = 56 + 28y + -77z Divide each side by '-21'. x = -2.666666667 + -1.333333333y + 3.666666667z Simplifying x = -2.666666667 + -1.333333333y + 3.666666667z
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