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Simplifying 5(5x + 1) = -4(3x + -3) Reorder the terms: 5(1 + 5x) = -4(3x + -3) (1 * 5 + 5x * 5) = -4(3x + -3) (5 + 25x) = -4(3x + -3) Reorder the terms: 5 + 25x = -4(-3 + 3x) 5 + 25x = (-3 * -4 + 3x * -4) 5 + 25x = (12 + -12x) Solving 5 + 25x = 12 + -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. 5 + 25x + 12x = 12 + -12x + 12x Combine like terms: 25x + 12x = 37x 5 + 37x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 37x = 12 + 0 5 + 37x = 12 Add '-5' to each side of the equation. 5 + -5 + 37x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 12 + -5 37x = 12 + -5 Combine like terms: 12 + -5 = 7 37x = 7 Divide each side by '37'. x = 0.1891891892 Simplifying x = 0.1891891892
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