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Simplifying 0.05x + 0.10(160 + -1x) = 0.15x 0.05x + (160 * 0.10 + -1x * 0.10) = 0.15x 0.05x + (16 + -0.1x) = 0.15x Reorder the terms: 16 + 0.05x + -0.1x = 0.15x Combine like terms: 0.05x + -0.1x = -0.05x 16 + -0.05x = 0.15x Solving 16 + -0.05x = 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 16 + -0.05x + -0.15x = 0.15x + -0.15x Combine like terms: -0.05x + -0.15x = -0.2x 16 + -0.2x = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 16 + -0.2x = 0.00 Add '-16' to each side of the equation. 16 + -16 + -0.2x = 0.00 + -16 Combine like terms: 16 + -16 = 0 0 + -0.2x = 0.00 + -16 -0.2x = 0.00 + -16 Combine like terms: 0.00 + -16 = -16 -0.2x = -16 Divide each side by '-0.2'. x = 80 Simplifying x = 80
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