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Simplifying 5x + -2y + 7z = 12 Solving 5x + -2y + 7z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 7z = 12 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 7z = 12 + 2y 5x + 7z = 12 + 2y Add '-7z' to each side of the equation. 5x + 7z + -7z = 12 + 2y + -7z Combine like terms: 7z + -7z = 0 5x + 0 = 12 + 2y + -7z 5x = 12 + 2y + -7z Divide each side by '5'. x = 2.4 + 0.4y + -1.4z Simplifying x = 2.4 + 0.4y + -1.4z
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