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Simplifying 3(4x + 2) = -5(5x + -4) Reorder the terms: 3(2 + 4x) = -5(5x + -4) (2 * 3 + 4x * 3) = -5(5x + -4) (6 + 12x) = -5(5x + -4) Reorder the terms: 6 + 12x = -5(-4 + 5x) 6 + 12x = (-4 * -5 + 5x * -5) 6 + 12x = (20 + -25x) Solving 6 + 12x = 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. 6 + 12x + 25x = 20 + -25x + 25x Combine like terms: 12x + 25x = 37x 6 + 37x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 6 + 37x = 20 + 0 6 + 37x = 20 Add '-6' to each side of the equation. 6 + -6 + 37x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 37x = 20 + -6 37x = 20 + -6 Combine like terms: 20 + -6 = 14 37x = 14 Divide each side by '37'. x = 0.3783783784 Simplifying x = 0.3783783784
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