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Simplifying 0.1 + 0.09x = 2 + x(0.08) Reorder the terms for easier multiplication: 0.1 + 0.09x = 2 + 0.08x Solving 0.1 + 0.09x = 2 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 0.1 + 0.09x + -0.08x = 2 + 0.08x + -0.08x Combine like terms: 0.09x + -0.08x = 0.01x 0.1 + 0.01x = 2 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.1 + 0.01x = 2 + 0.00 0.1 + 0.01x = 2 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.01x = 2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.01x = 2 + -0.1 0.01x = 2 + -0.1 Combine like terms: 2 + -0.1 = 1.9 0.01x = 1.9 Divide each side by '0.01'. x = 190 Simplifying x = 190
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