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Simplifying (2x + -5 + 8z) + -3(6x + -4y + 10z) = 0 Reorder the terms: (-5 + 2x + 8z) + -3(6x + -4y + 10z) = 0 Remove parenthesis around (-5 + 2x + 8z) -5 + 2x + 8z + -3(6x + -4y + 10z) = 0 -5 + 2x + 8z + (6x * -3 + -4y * -3 + 10z * -3) = 0 -5 + 2x + 8z + (-18x + 12y + -30z) = 0 Reorder the terms: -5 + 2x + -18x + 12y + 8z + -30z = 0 Combine like terms: 2x + -18x = -16x -5 + -16x + 12y + 8z + -30z = 0 Combine like terms: 8z + -30z = -22z -5 + -16x + 12y + -22z = 0 Solving -5 + -16x + 12y + -22z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -16x + 12y + 5 + -22z = 0 + 5 Reorder the terms: -5 + 5 + -16x + 12y + -22z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16x + 12y + -22z = 0 + 5 -16x + 12y + -22z = 0 + 5 Combine like terms: 0 + 5 = 5 -16x + 12y + -22z = 5 Add '-12y' to each side of the equation. -16x + 12y + -12y + -22z = 5 + -12y Combine like terms: 12y + -12y = 0 -16x + 0 + -22z = 5 + -12y -16x + -22z = 5 + -12y Add '22z' to each side of the equation. -16x + -22z + 22z = 5 + -12y + 22z Combine like terms: -22z + 22z = 0 -16x + 0 = 5 + -12y + 22z -16x = 5 + -12y + 22z Divide each side by '-16'. x = -0.3125 + 0.75y + -1.375z Simplifying x = -0.3125 + 0.75y + -1.375z
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