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Simplifying -3(x) + -2(y) + -1(z) + 100 = 0 Reorder the terms: 100 + -3x + -2y + -1z = 0 Solving 100 + -3x + -2y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -3x + -2y + -100 + -1z = 0 + -100 Reorder the terms: 100 + -100 + -3x + -2y + -1z = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3x + -2y + -1z = 0 + -100 -3x + -2y + -1z = 0 + -100 Combine like terms: 0 + -100 = -100 -3x + -2y + -1z = -100 Add '2y' to each side of the equation. -3x + -2y + 2y + -1z = -100 + 2y Combine like terms: -2y + 2y = 0 -3x + 0 + -1z = -100 + 2y -3x + -1z = -100 + 2y Add 'z' to each side of the equation. -3x + -1z + z = -100 + 2y + z Combine like terms: -1z + z = 0 -3x + 0 = -100 + 2y + z -3x = -100 + 2y + z Divide each side by '-3'. x = 33.33333333 + -0.6666666667y + -0.3333333333z Simplifying x = 33.33333333 + -0.6666666667y + -0.3333333333z
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