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Simplifying 7 + 5x + 4y + 2z = 0 Solving 7 + 5x + 4y + 2z = 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 + 2z = 0 + -7 Reorder the terms: 7 + -7 + 5x + 4y + 2z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + 4y + 2z = 0 + -7 5x + 4y + 2z = 0 + -7 Combine like terms: 0 + -7 = -7 5x + 4y + 2z = -7 Add '-4y' to each side of the equation. 5x + 4y + -4y + 2z = -7 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + 2z = -7 + -4y 5x + 2z = -7 + -4y Add '-2z' to each side of the equation. 5x + 2z + -2z = -7 + -4y + -2z Combine like terms: 2z + -2z = 0 5x + 0 = -7 + -4y + -2z 5x = -7 + -4y + -2z Divide each side by '5'. x = -1.4 + -0.8y + -0.4z Simplifying x = -1.4 + -0.8y + -0.4z
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