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Simplifying 0.8x + 13 = 0.75(x + 20) Reorder the terms: 13 + 0.8x = 0.75(x + 20) Reorder the terms: 13 + 0.8x = 0.75(20 + x) 13 + 0.8x = (20 * 0.75 + x * 0.75) 13 + 0.8x = (15 + 0.75x) Solving 13 + 0.8x = 15 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 13 + 0.8x + -0.75x = 15 + 0.75x + -0.75x Combine like terms: 0.8x + -0.75x = 0.05x 13 + 0.05x = 15 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 13 + 0.05x = 15 + 0.00 13 + 0.05x = 15 Add '-13' to each side of the equation. 13 + -13 + 0.05x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 0.05x = 15 + -13 0.05x = 15 + -13 Combine like terms: 15 + -13 = 2 0.05x = 2 Divide each side by '0.05'. x = 40 Simplifying x = 40
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