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Simplifying 83 = 5x + -6(5x + 7) Reorder the terms: 83 = 5x + -6(7 + 5x) 83 = 5x + (7 * -6 + 5x * -6) 83 = 5x + (-42 + -30x) Reorder the terms: 83 = -42 + 5x + -30x Combine like terms: 5x + -30x = -25x 83 = -42 + -25x Solving 83 = -42 + -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. 83 + 25x = -42 + -25x + 25x Combine like terms: -25x + 25x = 0 83 + 25x = -42 + 0 83 + 25x = -42 Add '-83' to each side of the equation. 83 + -83 + 25x = -42 + -83 Combine like terms: 83 + -83 = 0 0 + 25x = -42 + -83 25x = -42 + -83 Combine like terms: -42 + -83 = -125 25x = -125 Divide each side by '25'. x = -5 Simplifying x = -5
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