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Simplifying 9x + 0.75 = 0.5x + -1 Reorder the terms: 0.75 + 9x = 0.5x + -1 Reorder the terms: 0.75 + 9x = -1 + 0.5x Solving 0.75 + 9x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.75 + 9x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 9x + -0.5x = 8.5x 0.75 + 8.5x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.75 + 8.5x = -1 + 0.0 0.75 + 8.5x = -1 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 8.5x = -1 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 8.5x = -1 + -0.75 8.5x = -1 + -0.75 Combine like terms: -1 + -0.75 = -1.75 8.5x = -1.75 Divide each side by '8.5'. x = -0.2058823529 Simplifying x = -0.2058823529
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