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Simplifying 0.30(80) + 0.06x = 0.04(80 + x) Multiply 0.30 * 80 24 + 0.06x = 0.04(80 + x) 24 + 0.06x = (80 * 0.04 + x * 0.04) 24 + 0.06x = (3.2 + 0.04x) Solving 24 + 0.06x = 3.2 + 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. 24 + 0.06x + -0.04x = 3.2 + 0.04x + -0.04x Combine like terms: 0.06x + -0.04x = 0.02x 24 + 0.02x = 3.2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 24 + 0.02x = 3.2 + 0.00 24 + 0.02x = 3.2 Add '-24' to each side of the equation. 24 + -24 + 0.02x = 3.2 + -24 Combine like terms: 24 + -24 = 0 0 + 0.02x = 3.2 + -24 0.02x = 3.2 + -24 Combine like terms: 3.2 + -24 = -20.8 0.02x = -20.8 Divide each side by '0.02'. x = -1040 Simplifying x = -1040
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