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Simplifying 0.03(100) + 0.06x = 0.04(x + 100) Multiply 0.03 * 100 3 + 0.06x = 0.04(x + 100) Reorder the terms: 3 + 0.06x = 0.04(100 + x) 3 + 0.06x = (100 * 0.04 + x * 0.04) 3 + 0.06x = (4 + 0.04x) Solving 3 + 0.06x = 4 + 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. 3 + 0.06x + -0.04x = 4 + 0.04x + -0.04x Combine like terms: 0.06x + -0.04x = 0.02x 3 + 0.02x = 4 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 3 + 0.02x = 4 + 0.00 3 + 0.02x = 4 Add '-3' to each side of the equation. 3 + -3 + 0.02x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 0.02x = 4 + -3 0.02x = 4 + -3 Combine like terms: 4 + -3 = 1 0.02x = 1 Divide each side by '0.02'. x = 50 Simplifying x = 50
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