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Simplifying 5(12x + -2) = -3(7x + 5) Reorder the terms: 5(-2 + 12x) = -3(7x + 5) (-2 * 5 + 12x * 5) = -3(7x + 5) (-10 + 60x) = -3(7x + 5) Reorder the terms: -10 + 60x = -3(5 + 7x) -10 + 60x = (5 * -3 + 7x * -3) -10 + 60x = (-15 + -21x) Solving -10 + 60x = -15 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -10 + 60x + 21x = -15 + -21x + 21x Combine like terms: 60x + 21x = 81x -10 + 81x = -15 + -21x + 21x Combine like terms: -21x + 21x = 0 -10 + 81x = -15 + 0 -10 + 81x = -15 Add '10' to each side of the equation. -10 + 10 + 81x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 81x = -15 + 10 81x = -15 + 10 Combine like terms: -15 + 10 = -5 81x = -5 Divide each side by '81'. x = -0.06172839506 Simplifying x = -0.06172839506
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