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Simplifying 9 = x + 0.8(10 + -1x) 9 = x + (10 * 0.8 + -1x * 0.8) 9 = x + (8 + -0.8x) Reorder the terms: 9 = 8 + x + -0.8x Combine like terms: x + -0.8x = 0.2x 9 = 8 + 0.2x Solving 9 = 8 + 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. 9 + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 9 + -0.2x = 8 + 0.0 9 + -0.2x = 8 Add '-9' to each side of the equation. 9 + -9 + -0.2x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2x = 8 + -9 -0.2x = 8 + -9 Combine like terms: 8 + -9 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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