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Simplifying x + -0.1x = 0.75x + 4.5 Combine like terms: x + -0.1x = 0.9x 0.9x = 0.75x + 4.5 Reorder the terms: 0.9x = 4.5 + 0.75x Solving 0.9x = 4.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0.9x + -0.75x = 4.5 + 0.75x + -0.75x Combine like terms: 0.9x + -0.75x = 0.15x 0.15x = 4.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.15x = 4.5 + 0.00 0.15x = 4.5 Divide each side by '0.15'. x = 30 Simplifying x = 30
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