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Simplifying 0.09 = x + 0.8(0.10 + -1x) 0.09 = x + (0.10 * 0.8 + -1x * 0.8) 0.09 = x + (0.08 + -0.8x) Reorder the terms: 0.09 = 0.08 + x + -0.8x Combine like terms: x + -0.8x = 0.2x 0.09 = 0.08 + 0.2x Solving 0.09 = 0.08 + 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. 0.09 + -0.2x = 0.08 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.09 + -0.2x = 0.08 + 0.0 0.09 + -0.2x = 0.08 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.2x = 0.08 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.2x = 0.08 + -0.09 -0.2x = 0.08 + -0.09 Combine like terms: 0.08 + -0.09 = -0.01 -0.2x = -0.01 Divide each side by '-0.2'. x = 0.05 Simplifying x = 0.05
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