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Simplifying 5x + 26 = 5(5x + -3) + 1 Reorder the terms: 26 + 5x = 5(5x + -3) + 1 Reorder the terms: 26 + 5x = 5(-3 + 5x) + 1 26 + 5x = (-3 * 5 + 5x * 5) + 1 26 + 5x = (-15 + 25x) + 1 Reorder the terms: 26 + 5x = -15 + 1 + 25x Combine like terms: -15 + 1 = -14 26 + 5x = -14 + 25x Solving 26 + 5x = -14 + 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. 26 + 5x + -25x = -14 + 25x + -25x Combine like terms: 5x + -25x = -20x 26 + -20x = -14 + 25x + -25x Combine like terms: 25x + -25x = 0 26 + -20x = -14 + 0 26 + -20x = -14 Add '-26' to each side of the equation. 26 + -26 + -20x = -14 + -26 Combine like terms: 26 + -26 = 0 0 + -20x = -14 + -26 -20x = -14 + -26 Combine like terms: -14 + -26 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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