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Simplifying 0.65(7) + 0.35(20) = x Multiply 0.65 * 7 4.55 + 0.35(20) = x Multiply 0.35 * 20 4.55 + 7 = x Combine like terms: 4.55 + 7 = 11.55 11.55 = x Solving 11.55 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11.55 + -1x = x + -1x Combine like terms: x + -1x = 0 11.55 + -1x = 0 Add '-11.55' to each side of the equation. 11.55 + -11.55 + -1x = 0 + -11.55 Combine like terms: 11.55 + -11.55 = 0.00 0.00 + -1x = 0 + -11.55 -1x = 0 + -11.55 Combine like terms: 0 + -11.55 = -11.55 -1x = -11.55 Divide each side by '-1'. x = 11.55 Simplifying x = 11.55
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