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Simplifying 2x + 4y + 0.25z + -100 = 0 Reorder the terms: -100 + 2x + 4y + 0.25z = 0 Solving -100 + 2x + 4y + 0.25z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 2x + 4y + 100 + 0.25z = 0 + 100 Reorder the terms: -100 + 100 + 2x + 4y + 0.25z = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 2x + 4y + 0.25z = 0 + 100 2x + 4y + 0.25z = 0 + 100 Combine like terms: 0 + 100 = 100 2x + 4y + 0.25z = 100 Add '-4y' to each side of the equation. 2x + 4y + -4y + 0.25z = 100 + -4y Combine like terms: 4y + -4y = 0 2x + 0 + 0.25z = 100 + -4y 2x + 0.25z = 100 + -4y Add '-0.25z' to each side of the equation. 2x + 0.25z + -0.25z = 100 + -4y + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 2x + 0.00 = 100 + -4y + -0.25z 2x = 100 + -4y + -0.25z Divide each side by '2'. x = 50 + -2y + -0.125z Simplifying x = 50 + -2y + -0.125z
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