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Simplifying 10x + 4y + 6z + -5x + 3z + -7 = 0 Reorder the terms: -7 + 10x + -5x + 4y + 6z + 3z = 0 Combine like terms: 10x + -5x = 5x -7 + 5x + 4y + 6z + 3z = 0 Combine like terms: 6z + 3z = 9z -7 + 5x + 4y + 9z = 0 Solving -7 + 5x + 4y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5x + 4y + 7 + 9z = 0 + 7 Reorder the terms: -7 + 7 + 5x + 4y + 9z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x + 4y + 9z = 0 + 7 5x + 4y + 9z = 0 + 7 Combine like terms: 0 + 7 = 7 5x + 4y + 9z = 7 Add '-4y' to each side of the equation. 5x + 4y + -4y + 9z = 7 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + 9z = 7 + -4y 5x + 9z = 7 + -4y Add '-9z' to each side of the equation. 5x + 9z + -9z = 7 + -4y + -9z Combine like terms: 9z + -9z = 0 5x + 0 = 7 + -4y + -9z 5x = 7 + -4y + -9z Divide each side by '5'. x = 1.4 + -0.8y + -1.8z Simplifying x = 1.4 + -0.8y + -1.8z
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