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Simplifying 7(4x + -5) + -4(6x + 5) = -91 Reorder the terms: 7(-5 + 4x) + -4(6x + 5) = -91 (-5 * 7 + 4x * 7) + -4(6x + 5) = -91 (-35 + 28x) + -4(6x + 5) = -91 Reorder the terms: -35 + 28x + -4(5 + 6x) = -91 -35 + 28x + (5 * -4 + 6x * -4) = -91 -35 + 28x + (-20 + -24x) = -91 Reorder the terms: -35 + -20 + 28x + -24x = -91 Combine like terms: -35 + -20 = -55 -55 + 28x + -24x = -91 Combine like terms: 28x + -24x = 4x -55 + 4x = -91 Solving -55 + 4x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 4x = -91 + 55 Combine like terms: -55 + 55 = 0 0 + 4x = -91 + 55 4x = -91 + 55 Combine like terms: -91 + 55 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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