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Simplifying 1.05 + 0.75x = 0.2x + -0.5 Reorder the terms: 1.05 + 0.75x = -0.5 + 0.2x Solving 1.05 + 0.75x = -0.5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1.05 + 0.75x + -0.2x = -0.5 + 0.2x + -0.2x Combine like terms: 0.75x + -0.2x = 0.55x 1.05 + 0.55x = -0.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.05 + 0.55x = -0.5 + 0.0 1.05 + 0.55x = -0.5 Add '-1.05' to each side of the equation. 1.05 + -1.05 + 0.55x = -0.5 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 0.55x = -0.5 + -1.05 0.55x = -0.5 + -1.05 Combine like terms: -0.5 + -1.05 = -1.55 0.55x = -1.55 Divide each side by '0.55'. x = -2.818181818 Simplifying x = -2.818181818
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