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Simplifying -2.1(1.8x + 2.2y + -3.4z) = 0 (1.8x * -2.1 + 2.2y * -2.1 + -3.4z * -2.1) = 0 (-3.78x + -4.62y + 7.14z) = 0 Solving -3.78x + -4.62y + 7.14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.62y' to each side of the equation. -3.78x + -4.62y + 4.62y + 7.14z = 0 + 4.62y Combine like terms: -4.62y + 4.62y = 0.00 -3.78x + 0.00 + 7.14z = 0 + 4.62y -3.78x + 7.14z = 0 + 4.62y Remove the zero: -3.78x + 7.14z = 4.62y Add '-7.14z' to each side of the equation. -3.78x + 7.14z + -7.14z = 4.62y + -7.14z Combine like terms: 7.14z + -7.14z = 0.00 -3.78x + 0.00 = 4.62y + -7.14z -3.78x = 4.62y + -7.14z Divide each side by '-3.78'. x = -1.222222222y + 1.888888889z Simplifying x = -1.222222222y + 1.888888889z
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