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Simplifying 0.80x + 0.30(160) = 0.40(116) Multiply 0.30 * 160 0.80x + 48 = 0.40(116) Reorder the terms: 48 + 0.80x = 0.40(116) Multiply 0.40 * 116 48 + 0.80x = 46.4 Solving 48 + 0.80x = 46.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 0.80x = 46.4 + -48 Combine like terms: 48 + -48 = 0 0 + 0.80x = 46.4 + -48 0.80x = 46.4 + -48 Combine like terms: 46.4 + -48 = -1.6 0.80x = -1.6 Divide each side by '0.80'. x = -2 Simplifying x = -2
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