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Simplifying 0.04x + 0.06(3x + 100) = 1500 Reorder the terms: 0.04x + 0.06(100 + 3x) = 1500 0.04x + (100 * 0.06 + 3x * 0.06) = 1500 0.04x + (6 + 0.18x) = 1500 Reorder the terms: 6 + 0.04x + 0.18x = 1500 Combine like terms: 0.04x + 0.18x = 0.22x 6 + 0.22x = 1500 Solving 6 + 0.22x = 1500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.22x = 1500 + -6 Combine like terms: 6 + -6 = 0 0 + 0.22x = 1500 + -6 0.22x = 1500 + -6 Combine like terms: 1500 + -6 = 1494 0.22x = 1494 Divide each side by '0.22'. x = 6790.909091 Simplifying x = 6790.909091
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