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Simplifying 0.09x + 0.06(100) = 0.07(x + 100) Multiply 0.06 * 100 0.09x + 6 = 0.07(x + 100) Reorder the terms: 6 + 0.09x = 0.07(x + 100) Reorder the terms: 6 + 0.09x = 0.07(100 + x) 6 + 0.09x = (100 * 0.07 + x * 0.07) 6 + 0.09x = (7 + 0.07x) Solving 6 + 0.09x = 7 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 6 + 0.09x + -0.07x = 7 + 0.07x + -0.07x Combine like terms: 0.09x + -0.07x = 0.02x 6 + 0.02x = 7 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 6 + 0.02x = 7 + 0.00 6 + 0.02x = 7 Add '-6' to each side of the equation. 6 + -6 + 0.02x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 0.02x = 7 + -6 0.02x = 7 + -6 Combine like terms: 7 + -6 = 1 0.02x = 1 Divide each side by '0.02'. x = 50 Simplifying x = 50
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