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Simplifying 5(5x + -1) = 3(3x + 2) Reorder the terms: 5(-1 + 5x) = 3(3x + 2) (-1 * 5 + 5x * 5) = 3(3x + 2) (-5 + 25x) = 3(3x + 2) Reorder the terms: -5 + 25x = 3(2 + 3x) -5 + 25x = (2 * 3 + 3x * 3) -5 + 25x = (6 + 9x) Solving -5 + 25x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 25x + -9x = 6 + 9x + -9x Combine like terms: 25x + -9x = 16x -5 + 16x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 16x = 6 + 0 -5 + 16x = 6 Add '5' to each side of the equation. -5 + 5 + 16x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 16x = 6 + 5 16x = 6 + 5 Combine like terms: 6 + 5 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875
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