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Simplifying 0.57(21x + -35y + 14z) = 0 (21x * 0.57 + -35y * 0.57 + 14z * 0.57) = 0 (11.97x + -19.95y + 7.98z) = 0 Solving 11.97x + -19.95y + 7.98z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.95y' to each side of the equation. 11.97x + -19.95y + 19.95y + 7.98z = 0 + 19.95y Combine like terms: -19.95y + 19.95y = 0.00 11.97x + 0.00 + 7.98z = 0 + 19.95y 11.97x + 7.98z = 0 + 19.95y Remove the zero: 11.97x + 7.98z = 19.95y Add '-7.98z' to each side of the equation. 11.97x + 7.98z + -7.98z = 19.95y + -7.98z Combine like terms: 7.98z + -7.98z = 0.00 11.97x + 0.00 = 19.95y + -7.98z 11.97x = 19.95y + -7.98z Divide each side by '11.97'. x = 1.666666667y + -0.6666666667z Simplifying x = 1.666666667y + -0.6666666667z
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