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Simplifying x + 91 = 5x + 5(4x + -1) Reorder the terms: 91 + x = 5x + 5(4x + -1) Reorder the terms: 91 + x = 5x + 5(-1 + 4x) 91 + x = 5x + (-1 * 5 + 4x * 5) 91 + x = 5x + (-5 + 20x) Reorder the terms: 91 + x = -5 + 5x + 20x Combine like terms: 5x + 20x = 25x 91 + x = -5 + 25x Solving 91 + x = -5 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 91 + x + -25x = -5 + 25x + -25x Combine like terms: x + -25x = -24x 91 + -24x = -5 + 25x + -25x Combine like terms: 25x + -25x = 0 91 + -24x = -5 + 0 91 + -24x = -5 Add '-91' to each side of the equation. 91 + -91 + -24x = -5 + -91 Combine like terms: 91 + -91 = 0 0 + -24x = -5 + -91 -24x = -5 + -91 Combine like terms: -5 + -91 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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