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Simplifying 10 = x + 0.8(9 + -1x) 10 = x + (9 * 0.8 + -1x * 0.8) 10 = x + (7.2 + -0.8x) Reorder the terms: 10 = 7.2 + x + -0.8x Combine like terms: x + -0.8x = 0.2x 10 = 7.2 + 0.2x Solving 10 = 7.2 + 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. 10 + -0.2x = 7.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 10 + -0.2x = 7.2 + 0.0 10 + -0.2x = 7.2 Add '-10' to each side of the equation. 10 + -10 + -0.2x = 7.2 + -10 Combine like terms: 10 + -10 = 0 0 + -0.2x = 7.2 + -10 -0.2x = 7.2 + -10 Combine like terms: 7.2 + -10 = -2.8 -0.2x = -2.8 Divide each side by '-0.2'. x = 14 Simplifying x = 14
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