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Simplifying 0.65x + 0.35(10 + -1x) = 0.37(10) 0.65x + (10 * 0.35 + -1x * 0.35) = 0.37(10) 0.65x + (3.5 + -0.35x) = 0.37(10) Reorder the terms: 3.5 + 0.65x + -0.35x = 0.37(10) Combine like terms: 0.65x + -0.35x = 0.3x 3.5 + 0.3x = 0.37(10) Multiply 0.37 * 10 3.5 + 0.3x = 3.7 Solving 3.5 + 0.3x = 3.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.3x = 3.7 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.3x = 3.7 + -3.5 0.3x = 3.7 + -3.5 Combine like terms: 3.7 + -3.5 = 0.2 0.3x = 0.2 Divide each side by '0.3'. x = 0.6666666667 Simplifying x = 0.6666666667
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