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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 = -15 -15 + 28x + -24x = -91 Combine like terms: 28x + -24x = 4x -15 + 4x = -91 Solving -15 + 4x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4x = -91 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -91 + 15 4x = -91 + 15 Combine like terms: -91 + 15 = -76 4x = -76 Divide each side by '4'. x = -19 Simplifying x = -19
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