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Simplifying 0.35(140) + 0.15x = 0.05(x + 1100) Multiply 0.35 * 140 49 + 0.15x = 0.05(x + 1100) Reorder the terms: 49 + 0.15x = 0.05(1100 + x) 49 + 0.15x = (1100 * 0.05 + x * 0.05) 49 + 0.15x = (55 + 0.05x) Solving 49 + 0.15x = 55 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 49 + 0.15x + -0.05x = 55 + 0.05x + -0.05x Combine like terms: 0.15x + -0.05x = 0.1x 49 + 0.1x = 55 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 49 + 0.1x = 55 + 0.00 49 + 0.1x = 55 Add '-49' to each side of the equation. 49 + -49 + 0.1x = 55 + -49 Combine like terms: 49 + -49 = 0 0 + 0.1x = 55 + -49 0.1x = 55 + -49 Combine like terms: 55 + -49 = 6 0.1x = 6 Divide each side by '0.1'. x = 60 Simplifying x = 60
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