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Simplifying 3(4x + -5) + 2(6x + 5) = -91 Reorder the terms: 3(-5 + 4x) + 2(6x + 5) = -91 (-5 * 3 + 4x * 3) + 2(6x + 5) = -91 (-15 + 12x) + 2(6x + 5) = -91 Reorder the terms: -15 + 12x + 2(5 + 6x) = -91 -15 + 12x + (5 * 2 + 6x * 2) = -91 -15 + 12x + (10 + 12x) = -91 Reorder the terms: -15 + 10 + 12x + 12x = -91 Combine like terms: -15 + 10 = -5 -5 + 12x + 12x = -91 Combine like terms: 12x + 12x = 24x -5 + 24x = -91 Solving -5 + 24x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 24x = -91 + 5 Combine like terms: -5 + 5 = 0 0 + 24x = -91 + 5 24x = -91 + 5 Combine like terms: -91 + 5 = -86 24x = -86 Divide each side by '24'. x = -3.583333333 Simplifying x = -3.583333333
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