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Simplifying 0.30x + 0.40(20 + -1x) = 0.35(20) 0.30x + (20 * 0.40 + -1x * 0.40) = 0.35(20) 0.30x + (8 + -0.4x) = 0.35(20) Reorder the terms: 8 + 0.30x + -0.4x = 0.35(20) Combine like terms: 0.30x + -0.4x = -0.1x 8 + -0.1x = 0.35(20) Multiply 0.35 * 20 8 + -0.1x = 7 Solving 8 + -0.1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.1x = 7 + -8 -0.1x = 7 + -8 Combine like terms: 7 + -8 = -1 -0.1x = -1 Divide each side by '-0.1'. x = 10 Simplifying x = 10
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