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Simplifying -5(10x + 8z) + 0.25(6x + -7z) = 0 (10x * -5 + 8z * -5) + 0.25(6x + -7z) = 0 (-50x + -40z) + 0.25(6x + -7z) = 0 -50x + -40z + (6x * 0.25 + -7z * 0.25) = 0 -50x + -40z + (1.5x + -1.75z) = 0 Reorder the terms: -50x + 1.5x + -40z + -1.75z = 0 Combine like terms: -50x + 1.5x = -48.5x -48.5x + -40z + -1.75z = 0 Combine like terms: -40z + -1.75z = -41.75z -48.5x + -41.75z = 0 Solving -48.5x + -41.75z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41.75z' to each side of the equation. -48.5x + -41.75z + 41.75z = 0 + 41.75z Combine like terms: -41.75z + 41.75z = 0.00 -48.5x + 0.00 = 0 + 41.75z -48.5x = 0 + 41.75z Remove the zero: -48.5x = 41.75z Divide each side by '-48.5'. x = -0.8608247423z Simplifying x = -0.8608247423z
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