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Simplifying 3(3x + 1) = 5(5x + -4) Reorder the terms: 3(1 + 3x) = 5(5x + -4) (1 * 3 + 3x * 3) = 5(5x + -4) (3 + 9x) = 5(5x + -4) Reorder the terms: 3 + 9x = 5(-4 + 5x) 3 + 9x = (-4 * 5 + 5x * 5) 3 + 9x = (-20 + 25x) Solving 3 + 9x = -20 + 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 + 9x + -25x = -20 + 25x + -25x Combine like terms: 9x + -25x = -16x 3 + -16x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 3 + -16x = -20 + 0 3 + -16x = -20 Add '-3' to each side of the equation. 3 + -3 + -16x = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = -20 + -3 -16x = -20 + -3 Combine like terms: -20 + -3 = -23 -16x = -23 Divide each side by '-16'. x = 1.4375 Simplifying x = 1.4375
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