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Simplifying 0.30(80) + 0.06 = 0.04(80 + x) Multiply 0.30 * 80 24 + 0.06 = 0.04(80 + x) Combine like terms: 24 + 0.06 = 24.06 24.06 = 0.04(80 + x) 24.06 = (80 * 0.04 + x * 0.04) 24.06 = (3.2 + 0.04x) Solving 24.06 = 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. 24.06 + -0.04x = 3.2 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 24.06 + -0.04x = 3.2 + 0.00 24.06 + -0.04x = 3.2 Add '-24.06' to each side of the equation. 24.06 + -24.06 + -0.04x = 3.2 + -24.06 Combine like terms: 24.06 + -24.06 = 0.00 0.00 + -0.04x = 3.2 + -24.06 -0.04x = 3.2 + -24.06 Combine like terms: 3.2 + -24.06 = -20.86 -0.04x = -20.86 Divide each side by '-0.04'. x = 521.5 Simplifying x = 521.5
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