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Simplifying 5(5x + -1) + -6 = 23x + 5 Reorder the terms: 5(-1 + 5x) + -6 = 23x + 5 (-1 * 5 + 5x * 5) + -6 = 23x + 5 (-5 + 25x) + -6 = 23x + 5 Reorder the terms: -5 + -6 + 25x = 23x + 5 Combine like terms: -5 + -6 = -11 -11 + 25x = 23x + 5 Reorder the terms: -11 + 25x = 5 + 23x Solving -11 + 25x = 5 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -11 + 25x + -23x = 5 + 23x + -23x Combine like terms: 25x + -23x = 2x -11 + 2x = 5 + 23x + -23x Combine like terms: 23x + -23x = 0 -11 + 2x = 5 + 0 -11 + 2x = 5 Add '11' to each side of the equation. -11 + 11 + 2x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 5 + 11 2x = 5 + 11 Combine like terms: 5 + 11 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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