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Simplifying 0.35(16 + -1x) + x = 0.40(16) (16 * 0.35 + -1x * 0.35) + x = 0.40(16) (5.6 + -0.35x) + x = 0.40(16) Combine like terms: -0.35x + x = 0.65x 5.6 + 0.65x = 0.40(16) Multiply 0.40 * 16 5.6 + 0.65x = 6.4 Solving 5.6 + 0.65x = 6.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + 0.65x = 6.4 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 0.65x = 6.4 + -5.6 0.65x = 6.4 + -5.6 Combine like terms: 6.4 + -5.6 = 0.8 0.65x = 0.8 Divide each side by '0.65'. x = 1.230769231 Simplifying x = 1.230769231
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