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Simplifying 5(-12x + 12) = -3(21x + -15) Reorder the terms: 5(12 + -12x) = -3(21x + -15) (12 * 5 + -12x * 5) = -3(21x + -15) (60 + -60x) = -3(21x + -15) Reorder the terms: 60 + -60x = -3(-15 + 21x) 60 + -60x = (-15 * -3 + 21x * -3) 60 + -60x = (45 + -63x) Solving 60 + -60x = 45 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 60 + -60x + 63x = 45 + -63x + 63x Combine like terms: -60x + 63x = 3x 60 + 3x = 45 + -63x + 63x Combine like terms: -63x + 63x = 0 60 + 3x = 45 + 0 60 + 3x = 45 Add '-60' to each side of the equation. 60 + -60 + 3x = 45 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 45 + -60 3x = 45 + -60 Combine like terms: 45 + -60 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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