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Simplifying 5(5x + 3) = -4(3x + -5) Reorder the terms: 5(3 + 5x) = -4(3x + -5) (3 * 5 + 5x * 5) = -4(3x + -5) (15 + 25x) = -4(3x + -5) Reorder the terms: 15 + 25x = -4(-5 + 3x) 15 + 25x = (-5 * -4 + 3x * -4) 15 + 25x = (20 + -12x) Solving 15 + 25x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + 25x + 12x = 20 + -12x + 12x Combine like terms: 25x + 12x = 37x 15 + 37x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 37x = 20 + 0 15 + 37x = 20 Add '-15' to each side of the equation. 15 + -15 + 37x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 37x = 20 + -15 37x = 20 + -15 Combine like terms: 20 + -15 = 5 37x = 5 Divide each side by '37'. x = 0.1351351351 Simplifying x = 0.1351351351
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