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Simplifying 0.028(500) + 0.07x = 0.04(500 + x) Multiply 0.028 * 500 14 + 0.07x = 0.04(500 + x) 14 + 0.07x = (500 * 0.04 + x * 0.04) 14 + 0.07x = (20 + 0.04x) Solving 14 + 0.07x = 20 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 14 + 0.07x + -0.04x = 20 + 0.04x + -0.04x Combine like terms: 0.07x + -0.04x = 0.03x 14 + 0.03x = 20 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 14 + 0.03x = 20 + 0.00 14 + 0.03x = 20 Add '-14' to each side of the equation. 14 + -14 + 0.03x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 0.03x = 20 + -14 0.03x = 20 + -14 Combine like terms: 20 + -14 = 6 0.03x = 6 Divide each side by '0.03'. x = 200 Simplifying x = 200
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