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Simplifying 3(4x + -5) + -4(6x + 5) = -91 Reorder the terms: 3(-5 + 4x) + -4(6x + 5) = -91 (-5 * 3 + 4x * 3) + -4(6x + 5) = -91 (-15 + 12x) + -4(6x + 5) = -91 Reorder the terms: -15 + 12x + -4(5 + 6x) = -91 -15 + 12x + (5 * -4 + 6x * -4) = -91 -15 + 12x + (-20 + -24x) = -91 Reorder the terms: -15 + -20 + 12x + -24x = -91 Combine like terms: -15 + -20 = -35 -35 + 12x + -24x = -91 Combine like terms: 12x + -24x = -12x -35 + -12x = -91 Solving -35 + -12x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -12x = -91 + 35 Combine like terms: -35 + 35 = 0 0 + -12x = -91 + 35 -12x = -91 + 35 Combine like terms: -91 + 35 = -56 -12x = -56 Divide each side by '-12'. x = 4.666666667 Simplifying x = 4.666666667
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