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Simplifying 0.05 + 0.13(10 + -1x) = 0.1(10) 0.05 + (10 * 0.13 + -1x * 0.13) = 0.1(10) 0.05 + (1.3 + -0.13x) = 0.1(10) Combine like terms: 0.05 + 1.3 = 1.35 1.35 + -0.13x = 0.1(10) Multiply 0.1 * 10 1.35 + -0.13x = 1 Solving 1.35 + -0.13x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + -0.13x = 1 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + -0.13x = 1 + -1.35 -0.13x = 1 + -1.35 Combine like terms: 1 + -1.35 = -0.35 -0.13x = -0.35 Divide each side by '-0.13'. x = 2.692307692 Simplifying x = 2.692307692
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