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Simplifying 13 = 8 + -5(5x + -6) Reorder the terms: 13 = 8 + -5(-6 + 5x) 13 = 8 + (-6 * -5 + 5x * -5) 13 = 8 + (30 + -25x) Combine like terms: 8 + 30 = 38 13 = 38 + -25x Solving 13 = 38 + -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. 13 + 25x = 38 + -25x + 25x Combine like terms: -25x + 25x = 0 13 + 25x = 38 + 0 13 + 25x = 38 Add '-13' to each side of the equation. 13 + -13 + 25x = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 25x = 38 + -13 25x = 38 + -13 Combine like terms: 38 + -13 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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