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Simplifying 3(4x + -5) + 5(5x + -6) = -297 Reorder the terms: 3(-5 + 4x) + 5(5x + -6) = -297 (-5 * 3 + 4x * 3) + 5(5x + -6) = -297 (-15 + 12x) + 5(5x + -6) = -297 Reorder the terms: -15 + 12x + 5(-6 + 5x) = -297 -15 + 12x + (-6 * 5 + 5x * 5) = -297 -15 + 12x + (-30 + 25x) = -297 Reorder the terms: -15 + -30 + 12x + 25x = -297 Combine like terms: -15 + -30 = -45 -45 + 12x + 25x = -297 Combine like terms: 12x + 25x = 37x -45 + 37x = -297 Solving -45 + 37x = -297 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 37x = -297 + 45 Combine like terms: -45 + 45 = 0 0 + 37x = -297 + 45 37x = -297 + 45 Combine like terms: -297 + 45 = -252 37x = -252 Divide each side by '37'. x = -6.810810811 Simplifying x = -6.810810811
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