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Simplifying 5x + 25x + -6 = 5(5x + 9) Reorder the terms: -6 + 5x + 25x = 5(5x + 9) Combine like terms: 5x + 25x = 30x -6 + 30x = 5(5x + 9) Reorder the terms: -6 + 30x = 5(9 + 5x) -6 + 30x = (9 * 5 + 5x * 5) -6 + 30x = (45 + 25x) Solving -6 + 30x = 45 + 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. -6 + 30x + -25x = 45 + 25x + -25x Combine like terms: 30x + -25x = 5x -6 + 5x = 45 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + 5x = 45 + 0 -6 + 5x = 45 Add '6' to each side of the equation. -6 + 6 + 5x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 45 + 6 5x = 45 + 6 Combine like terms: 45 + 6 = 51 5x = 51 Divide each side by '5'. x = 10.2 Simplifying x = 10.2
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