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Simplifying 0.30x + 0.005(8 + -1x) = 0.10(24) 0.30x + (8 * 0.005 + -1x * 0.005) = 0.10(24) 0.30x + (0.04 + -0.005x) = 0.10(24) Reorder the terms: 0.04 + 0.30x + -0.005x = 0.10(24) Combine like terms: 0.30x + -0.005x = 0.295x 0.04 + 0.295x = 0.10(24) Multiply 0.10 * 24 0.04 + 0.295x = 2.4 Solving 0.04 + 0.295x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + 0.295x = 2.4 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.295x = 2.4 + -0.04 0.295x = 2.4 + -0.04 Combine like terms: 2.4 + -0.04 = 2.36 0.295x = 2.36 Divide each side by '0.295'. x = 8 Simplifying x = 8
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