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Simplifying 0.5x + -0.75 + 9x = 5x + 1.5 Reorder the terms: -0.75 + 0.5x + 9x = 5x + 1.5 Combine like terms: 0.5x + 9x = 9.5x -0.75 + 9.5x = 5x + 1.5 Reorder the terms: -0.75 + 9.5x = 1.5 + 5x Solving -0.75 + 9.5x = 1.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -0.75 + 9.5x + -5x = 1.5 + 5x + -5x Combine like terms: 9.5x + -5x = 4.5x -0.75 + 4.5x = 1.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -0.75 + 4.5x = 1.5 + 0 -0.75 + 4.5x = 1.5 Add '0.75' to each side of the equation. -0.75 + 0.75 + 4.5x = 1.5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 4.5x = 1.5 + 0.75 4.5x = 1.5 + 0.75 Combine like terms: 1.5 + 0.75 = 2.25 4.5x = 2.25 Divide each side by '4.5'. x = 0.5 Simplifying x = 0.5
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