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Simplifying 5(5x + 1) = -3(4x + -2) Reorder the terms: 5(1 + 5x) = -3(4x + -2) (1 * 5 + 5x * 5) = -3(4x + -2) (5 + 25x) = -3(4x + -2) Reorder the terms: 5 + 25x = -3(-2 + 4x) 5 + 25x = (-2 * -3 + 4x * -3) 5 + 25x = (6 + -12x) Solving 5 + 25x = 6 + -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 = 6 + -12x + 12x Combine like terms: 25x + 12x = 37x 5 + 37x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 37x = 6 + 0 5 + 37x = 6 Add '-5' to each side of the equation. 5 + -5 + 37x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 6 + -5 37x = 6 + -5 Combine like terms: 6 + -5 = 1 37x = 1 Divide each side by '37'. x = 0.02702702703 Simplifying x = 0.02702702703
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