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Simplifying 4x + 0.75 + 1.25x + -3z = 9 Reorder the terms: 0.75 + 4x + 1.25x + -3z = 9 Combine like terms: 4x + 1.25x = 5.25x 0.75 + 5.25x + -3z = 9 Solving 0.75 + 5.25x + -3z = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + 5.25x + -0.75 + -3z = 9 + -0.75 Reorder the terms: 0.75 + -0.75 + 5.25x + -3z = 9 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 5.25x + -3z = 9 + -0.75 5.25x + -3z = 9 + -0.75 Combine like terms: 9 + -0.75 = 8.25 5.25x + -3z = 8.25 Add '3z' to each side of the equation. 5.25x + -3z + 3z = 8.25 + 3z Combine like terms: -3z + 3z = 0 5.25x + 0 = 8.25 + 3z 5.25x = 8.25 + 3z Divide each side by '5.25'. x = 1.571428571 + 0.5714285714z Simplifying x = 1.571428571 + 0.5714285714z
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