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Simplifying 5(5x + -3) = -3(4x + 7) Reorder the terms: 5(-3 + 5x) = -3(4x + 7) (-3 * 5 + 5x * 5) = -3(4x + 7) (-15 + 25x) = -3(4x + 7) Reorder the terms: -15 + 25x = -3(7 + 4x) -15 + 25x = (7 * -3 + 4x * -3) -15 + 25x = (-21 + -12x) Solving -15 + 25x = -21 + -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 = -21 + -12x + 12x Combine like terms: 25x + 12x = 37x -15 + 37x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 37x = -21 + 0 -15 + 37x = -21 Add '15' to each side of the equation. -15 + 15 + 37x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 37x = -21 + 15 37x = -21 + 15 Combine like terms: -21 + 15 = -6 37x = -6 Divide each side by '37'. x = -0.1621621622 Simplifying x = -0.1621621622
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