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Simplifying 3(3x + -1) + 5x = 5(5 + 5x) + -1 Reorder the terms: 3(-1 + 3x) + 5x = 5(5 + 5x) + -1 (-1 * 3 + 3x * 3) + 5x = 5(5 + 5x) + -1 (-3 + 9x) + 5x = 5(5 + 5x) + -1 Combine like terms: 9x + 5x = 14x -3 + 14x = 5(5 + 5x) + -1 -3 + 14x = (5 * 5 + 5x * 5) + -1 -3 + 14x = (25 + 25x) + -1 Reorder the terms: -3 + 14x = 25 + -1 + 25x Combine like terms: 25 + -1 = 24 -3 + 14x = 24 + 25x Solving -3 + 14x = 24 + 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. -3 + 14x + -25x = 24 + 25x + -25x Combine like terms: 14x + -25x = -11x -3 + -11x = 24 + 25x + -25x Combine like terms: 25x + -25x = 0 -3 + -11x = 24 + 0 -3 + -11x = 24 Add '3' to each side of the equation. -3 + 3 + -11x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 24 + 3 -11x = 24 + 3 Combine like terms: 24 + 3 = 27 -11x = 27 Divide each side by '-11'. x = -2.454545455 Simplifying x = -2.454545455
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