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Simplifying 454.15 = 31(x + 2.65) Reorder the terms: 454.15 = 31(2.65 + x) 454.15 = (2.65 * 31 + x * 31) 454.15 = (82.15 + 31x) Solving 454.15 = 82.15 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 454.15 + -31x = 82.15 + 31x + -31x Combine like terms: 31x + -31x = 0 454.15 + -31x = 82.15 + 0 454.15 + -31x = 82.15 Add '-454.15' to each side of the equation. 454.15 + -454.15 + -31x = 82.15 + -454.15 Combine like terms: 454.15 + -454.15 = 0.00 0.00 + -31x = 82.15 + -454.15 -31x = 82.15 + -454.15 Combine like terms: 82.15 + -454.15 = -372 -31x = -372 Divide each side by '-31'. x = 12 Simplifying x = 12
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