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Simplifying 48(-1 + 2x) = 89(x + 5) + 2x (-1 * 48 + 2x * 48) = 89(x + 5) + 2x (-48 + 96x) = 89(x + 5) + 2x Reorder the terms: -48 + 96x = 89(5 + x) + 2x -48 + 96x = (5 * 89 + x * 89) + 2x -48 + 96x = (445 + 89x) + 2x Combine like terms: 89x + 2x = 91x -48 + 96x = 445 + 91x Solving -48 + 96x = 445 + 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. -48 + 96x + -91x = 445 + 91x + -91x Combine like terms: 96x + -91x = 5x -48 + 5x = 445 + 91x + -91x Combine like terms: 91x + -91x = 0 -48 + 5x = 445 + 0 -48 + 5x = 445 Add '48' to each side of the equation. -48 + 48 + 5x = 445 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 445 + 48 5x = 445 + 48 Combine like terms: 445 + 48 = 493 5x = 493 Divide each side by '5'. x = 98.6 Simplifying x = 98.6
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