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Simplifying x + -3y + -5z + 1 = 0 Reorder the terms: 1 + x + -3y + -5z = 0 Solving 1 + x + -3y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -3y + -1 + -5z = 0 + -1 Reorder the terms: 1 + -1 + x + -3y + -5z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + -3y + -5z = 0 + -1 x + -3y + -5z = 0 + -1 Combine like terms: 0 + -1 = -1 x + -3y + -5z = -1 Add '3y' to each side of the equation. x + -3y + 3y + -5z = -1 + 3y Combine like terms: -3y + 3y = 0 x + 0 + -5z = -1 + 3y x + -5z = -1 + 3y Add '5z' to each side of the equation. x + -5z + 5z = -1 + 3y + 5z Combine like terms: -5z + 5z = 0 x + 0 = -1 + 3y + 5z x = -1 + 3y + 5z Simplifying x = -1 + 3y + 5z
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