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Simplifying 1.05x + 5 = 0.95 + (8 + 0.1x) Reorder the terms: 5 + 1.05x = 0.95 + (8 + 0.1x) Remove parenthesis around (8 + 0.1x) 5 + 1.05x = 0.95 + 8 + 0.1x Combine like terms: 0.95 + 8 = 8.95 5 + 1.05x = 8.95 + 0.1x Solving 5 + 1.05x = 8.95 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 5 + 1.05x + -0.1x = 8.95 + 0.1x + -0.1x Combine like terms: 1.05x + -0.1x = 0.95x 5 + 0.95x = 8.95 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 5 + 0.95x = 8.95 + 0.0 5 + 0.95x = 8.95 Add '-5' to each side of the equation. 5 + -5 + 0.95x = 8.95 + -5 Combine like terms: 5 + -5 = 0 0 + 0.95x = 8.95 + -5 0.95x = 8.95 + -5 Combine like terms: 8.95 + -5 = 3.95 0.95x = 3.95 Divide each side by '0.95'. x = 4.157894737 Simplifying x = 4.157894737
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