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Simplifying 0.03(10 + -1x) + 0.3x = 0.05(40) (10 * 0.03 + -1x * 0.03) + 0.3x = 0.05(40) (0.3 + -0.03x) + 0.3x = 0.05(40) Combine like terms: -0.03x + 0.3x = 0.27x 0.3 + 0.27x = 0.05(40) Multiply 0.05 * 40 0.3 + 0.27x = 2 Solving 0.3 + 0.27x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.27x = 2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.27x = 2 + -0.3 0.27x = 2 + -0.3 Combine like terms: 2 + -0.3 = 1.7 0.27x = 1.7 Divide each side by '0.27'. x = 6.296296296 Simplifying x = 6.296296296
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