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Simplifying -3x + 26 = -5(5x + 8) Reorder the terms: 26 + -3x = -5(5x + 8) Reorder the terms: 26 + -3x = -5(8 + 5x) 26 + -3x = (8 * -5 + 5x * -5) 26 + -3x = (-40 + -25x) Solving 26 + -3x = -40 + -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 + -3x + 25x = -40 + -25x + 25x Combine like terms: -3x + 25x = 22x 26 + 22x = -40 + -25x + 25x Combine like terms: -25x + 25x = 0 26 + 22x = -40 + 0 26 + 22x = -40 Add '-26' to each side of the equation. 26 + -26 + 22x = -40 + -26 Combine like terms: 26 + -26 = 0 0 + 22x = -40 + -26 22x = -40 + -26 Combine like terms: -40 + -26 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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