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Simplifying 2400 = 0.5(40)(15 + x) Multiply 0.5 * 40 2400 = 20(15 + x) 2400 = (15 * 20 + x * 20) 2400 = (300 + 20x) Solving 2400 = 300 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 2400 + -20x = 300 + 20x + -20x Combine like terms: 20x + -20x = 0 2400 + -20x = 300 + 0 2400 + -20x = 300 Add '-2400' to each side of the equation. 2400 + -2400 + -20x = 300 + -2400 Combine like terms: 2400 + -2400 = 0 0 + -20x = 300 + -2400 -20x = 300 + -2400 Combine like terms: 300 + -2400 = -2100 -20x = -2100 Divide each side by '-20'. x = 105 Simplifying x = 105
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