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Simplifying 0.24(100 + x) = 0.3(100) + 0.2x (100 * 0.24 + x * 0.24) = 0.3(100) + 0.2x (24 + 0.24x) = 0.3(100) + 0.2x Multiply 0.3 * 100 24 + 0.24x = 30 + 0.2x Solving 24 + 0.24x = 30 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 24 + 0.24x + -0.2x = 30 + 0.2x + -0.2x Combine like terms: 0.24x + -0.2x = 0.04x 24 + 0.04x = 30 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 24 + 0.04x = 30 + 0.0 24 + 0.04x = 30 Add '-24' to each side of the equation. 24 + -24 + 0.04x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 0.04x = 30 + -24 0.04x = 30 + -24 Combine like terms: 30 + -24 = 6 0.04x = 6 Divide each side by '0.04'. x = 150 Simplifying x = 150
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