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Simplifying 0.10x + 0.05(x + 5) = 1.15 Reorder the terms: 0.10x + 0.05(5 + x) = 1.15 0.10x + (5 * 0.05 + x * 0.05) = 1.15 0.10x + (0.25 + 0.05x) = 1.15 Reorder the terms: 0.25 + 0.10x + 0.05x = 1.15 Combine like terms: 0.10x + 0.05x = 0.15x 0.25 + 0.15x = 1.15 Solving 0.25 + 0.15x = 1.15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.15x = 1.15 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.15x = 1.15 + -0.25 0.15x = 1.15 + -0.25 Combine like terms: 1.15 + -0.25 = 0.9 0.15x = 0.9 Divide each side by '0.15'. x = 6 Simplifying x = 6
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