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Simplifying -3.5(5x + -2y + z + -4) = 0 Reorder the terms: -3.5(-4 + 5x + -2y + z) = 0 (-4 * -3.5 + 5x * -3.5 + -2y * -3.5 + z * -3.5) = 0 (14 + -17.5x + 7y + -3.5z) = 0 Solving 14 + -17.5x + 7y + -3.5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -17.5x + 7y + -14 + -3.5z = 0 + -14 Reorder the terms: 14 + -14 + -17.5x + 7y + -3.5z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -17.5x + 7y + -3.5z = 0 + -14 -17.5x + 7y + -3.5z = 0 + -14 Combine like terms: 0 + -14 = -14 -17.5x + 7y + -3.5z = -14 Add '-7y' to each side of the equation. -17.5x + 7y + -7y + -3.5z = -14 + -7y Combine like terms: 7y + -7y = 0 -17.5x + 0 + -3.5z = -14 + -7y -17.5x + -3.5z = -14 + -7y Add '3.5z' to each side of the equation. -17.5x + -3.5z + 3.5z = -14 + -7y + 3.5z Combine like terms: -3.5z + 3.5z = 0.0 -17.5x + 0.0 = -14 + -7y + 3.5z -17.5x = -14 + -7y + 3.5z Divide each side by '-17.5'. x = 0.8 + 0.4y + -0.2z Simplifying x = 0.8 + 0.4y + -0.2z
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