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Simplifying 9.65x + 43 = 8.40x + 58 Reorder the terms: 43 + 9.65x = 8.40x + 58 Reorder the terms: 43 + 9.65x = 58 + 8.40x Solving 43 + 9.65x = 58 + 8.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.40x' to each side of the equation. 43 + 9.65x + -8.40x = 58 + 8.40x + -8.40x Combine like terms: 9.65x + -8.40x = 1.25x 43 + 1.25x = 58 + 8.40x + -8.40x Combine like terms: 8.40x + -8.40x = 0.00 43 + 1.25x = 58 + 0.00 43 + 1.25x = 58 Add '-43' to each side of the equation. 43 + -43 + 1.25x = 58 + -43 Combine like terms: 43 + -43 = 0 0 + 1.25x = 58 + -43 1.25x = 58 + -43 Combine like terms: 58 + -43 = 15 1.25x = 15 Divide each side by '1.25'. x = 12 Simplifying x = 12
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