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Simplifying 5x + 7y + 8z + -2x + 3y + 5 + -1z = 0 Reorder the terms: 5 + 5x + -2x + 7y + 3y + 8z + -1z = 0 Combine like terms: 5x + -2x = 3x 5 + 3x + 7y + 3y + 8z + -1z = 0 Combine like terms: 7y + 3y = 10y 5 + 3x + 10y + 8z + -1z = 0 Combine like terms: 8z + -1z = 7z 5 + 3x + 10y + 7z = 0 Solving 5 + 3x + 10y + 7z = 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 + 3x + 10y + -5 + 7z = 0 + -5 Reorder the terms: 5 + -5 + 3x + 10y + 7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + 10y + 7z = 0 + -5 3x + 10y + 7z = 0 + -5 Combine like terms: 0 + -5 = -5 3x + 10y + 7z = -5 Add '-10y' to each side of the equation. 3x + 10y + -10y + 7z = -5 + -10y Combine like terms: 10y + -10y = 0 3x + 0 + 7z = -5 + -10y 3x + 7z = -5 + -10y Add '-7z' to each side of the equation. 3x + 7z + -7z = -5 + -10y + -7z Combine like terms: 7z + -7z = 0 3x + 0 = -5 + -10y + -7z 3x = -5 + -10y + -7z Divide each side by '3'. x = -1.666666667 + -3.333333333y + -2.333333333z Simplifying x = -1.666666667 + -3.333333333y + -2.333333333z
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