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Simplifying 0.30 + 0.40(1 + -1x) = 0.35 0.30 + (1 * 0.40 + -1x * 0.40) = 0.35 0.30 + (0.4 + -0.4x) = 0.35 Combine like terms: 0.30 + 0.4 = 0.7 0.7 + -0.4x = 0.35 Solving 0.7 + -0.4x = 0.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.4x = 0.35 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.4x = 0.35 + -0.7 -0.4x = 0.35 + -0.7 Combine like terms: 0.35 + -0.7 = -0.35 -0.4x = -0.35 Divide each side by '-0.4'. x = 0.875 Simplifying x = 0.875
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