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Simplifying 0.10 + 0.40(3 + -1x) = 30 0.10 + (3 * 0.40 + -1x * 0.40) = 30 0.10 + (1.2 + -0.4x) = 30 Combine like terms: 0.10 + 1.2 = 1.3 1.3 + -0.4x = 30 Solving 1.3 + -0.4x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.4x = 30 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.4x = 30 + -1.3 -0.4x = 30 + -1.3 Combine like terms: 30 + -1.3 = 28.7 -0.4x = 28.7 Divide each side by '-0.4'. x = -71.75 Simplifying x = -71.75
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