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Simplifying 3x + 4y + -7z = 10 Solving 3x + 4y + -7z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y + -7z = 10 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + -7z = 10 + -4y 3x + -7z = 10 + -4y Add '7z' to each side of the equation. 3x + -7z + 7z = 10 + -4y + 7z Combine like terms: -7z + 7z = 0 3x + 0 = 10 + -4y + 7z 3x = 10 + -4y + 7z Divide each side by '3'. x = 3.333333333 + -1.333333333y + 2.333333333z Simplifying x = 3.333333333 + -1.333333333y + 2.333333333z
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