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Simplifying 3(x + 6) = 5(5x + -4) Reorder the terms: 3(6 + x) = 5(5x + -4) (6 * 3 + x * 3) = 5(5x + -4) (18 + 3x) = 5(5x + -4) Reorder the terms: 18 + 3x = 5(-4 + 5x) 18 + 3x = (-4 * 5 + 5x * 5) 18 + 3x = (-20 + 25x) Solving 18 + 3x = -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. 18 + 3x + -25x = -20 + 25x + -25x Combine like terms: 3x + -25x = -22x 18 + -22x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 18 + -22x = -20 + 0 18 + -22x = -20 Add '-18' to each side of the equation. 18 + -18 + -22x = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -20 + -18 -22x = -20 + -18 Combine like terms: -20 + -18 = -38 -22x = -38 Divide each side by '-22'. x = 1.727272727 Simplifying x = 1.727272727
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