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Simplifying x + 0.8 = 9.2(x + 0.2) Reorder the terms: 0.8 + x = 9.2(x + 0.2) Reorder the terms: 0.8 + x = 9.2(0.2 + x) 0.8 + x = (0.2 * 9.2 + x * 9.2) 0.8 + x = (1.84 + 9.2x) Solving 0.8 + x = 1.84 + 9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.2x' to each side of the equation. 0.8 + x + -9.2x = 1.84 + 9.2x + -9.2x Combine like terms: x + -9.2x = -8.2x 0.8 + -8.2x = 1.84 + 9.2x + -9.2x Combine like terms: 9.2x + -9.2x = 0.0 0.8 + -8.2x = 1.84 + 0.0 0.8 + -8.2x = 1.84 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -8.2x = 1.84 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -8.2x = 1.84 + -0.8 -8.2x = 1.84 + -0.8 Combine like terms: 1.84 + -0.8 = 1.04 -8.2x = 1.04 Divide each side by '-8.2'. x = -0.1268292683 Simplifying x = -0.1268292683
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