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Simplifying (7x + 12) * 3 = -5(0.50x + 7) Reorder the terms: (12 + 7x) * 3 = -5(0.50x + 7) Reorder the terms for easier multiplication: 3(12 + 7x) = -5(0.50x + 7) (12 * 3 + 7x * 3) = -5(0.50x + 7) (36 + 21x) = -5(0.50x + 7) Reorder the terms: 36 + 21x = -5(7 + 0.50x) 36 + 21x = (7 * -5 + 0.50x * -5) 36 + 21x = (-35 + -2.5x) Solving 36 + 21x = -35 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 36 + 21x + 2.5x = -35 + -2.5x + 2.5x Combine like terms: 21x + 2.5x = 23.5x 36 + 23.5x = -35 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 36 + 23.5x = -35 + 0.0 36 + 23.5x = -35 Add '-36' to each side of the equation. 36 + -36 + 23.5x = -35 + -36 Combine like terms: 36 + -36 = 0 0 + 23.5x = -35 + -36 23.5x = -35 + -36 Combine like terms: -35 + -36 = -71 23.5x = -71 Divide each side by '23.5'. x = -3.021276596 Simplifying x = -3.021276596
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