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Simplifying 3x + -4y + 5z + -2 = 0 Reorder the terms: -2 + 3x + -4y + 5z = 0 Solving -2 + 3x + -4y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3x + -4y + 2 + 5z = 0 + 2 Reorder the terms: -2 + 2 + 3x + -4y + 5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x + -4y + 5z = 0 + 2 3x + -4y + 5z = 0 + 2 Combine like terms: 0 + 2 = 2 3x + -4y + 5z = 2 Add '4y' to each side of the equation. 3x + -4y + 4y + 5z = 2 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 5z = 2 + 4y 3x + 5z = 2 + 4y Add '-5z' to each side of the equation. 3x + 5z + -5z = 2 + 4y + -5z Combine like terms: 5z + -5z = 0 3x + 0 = 2 + 4y + -5z 3x = 2 + 4y + -5z Divide each side by '3'. x = 0.6666666667 + 1.333333333y + -1.666666667z Simplifying x = 0.6666666667 + 1.333333333y + -1.666666667z
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