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Simplifying 0.70x + 0.2(25) = 0.55(x + 20) Multiply 0.2 * 25 0.70x + 5 = 0.55(x + 20) Reorder the terms: 5 + 0.70x = 0.55(x + 20) Reorder the terms: 5 + 0.70x = 0.55(20 + x) 5 + 0.70x = (20 * 0.55 + x * 0.55) 5 + 0.70x = (11 + 0.55x) Solving 5 + 0.70x = 11 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 5 + 0.70x + -0.55x = 11 + 0.55x + -0.55x Combine like terms: 0.70x + -0.55x = 0.15x 5 + 0.15x = 11 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 5 + 0.15x = 11 + 0.00 5 + 0.15x = 11 Add '-5' to each side of the equation. 5 + -5 + 0.15x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 0.15x = 11 + -5 0.15x = 11 + -5 Combine like terms: 11 + -5 = 6 0.15x = 6 Divide each side by '0.15'. x = 40 Simplifying x = 40
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