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Simplifying 0.8x + -0.05 = x + 1 + -0.5 Reorder the terms: -0.05 + 0.8x = x + 1 + -0.5 Reorder the terms: -0.05 + 0.8x = 1 + -0.5 + x Combine like terms: 1 + -0.5 = 0.5 -0.05 + 0.8x = 0.5 + x Solving -0.05 + 0.8x = 0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.05 + 0.8x + -1x = 0.5 + x + -1x Combine like terms: 0.8x + -1x = -0.2x -0.05 + -0.2x = 0.5 + x + -1x Combine like terms: x + -1x = 0 -0.05 + -0.2x = 0.5 + 0 -0.05 + -0.2x = 0.5 Add '0.05' to each side of the equation. -0.05 + 0.05 + -0.2x = 0.5 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + -0.2x = 0.5 + 0.05 -0.2x = 0.5 + 0.05 Combine like terms: 0.5 + 0.05 = 0.55 -0.2x = 0.55 Divide each side by '-0.2'. x = -2.75 Simplifying x = -2.75
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