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Simplifying -7 + 5(7x + 12) = 4(5x + 2) Reorder the terms: -7 + 5(12 + 7x) = 4(5x + 2) -7 + (12 * 5 + 7x * 5) = 4(5x + 2) -7 + (60 + 35x) = 4(5x + 2) Combine like terms: -7 + 60 = 53 53 + 35x = 4(5x + 2) Reorder the terms: 53 + 35x = 4(2 + 5x) 53 + 35x = (2 * 4 + 5x * 4) 53 + 35x = (8 + 20x) Solving 53 + 35x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 53 + 35x + -20x = 8 + 20x + -20x Combine like terms: 35x + -20x = 15x 53 + 15x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 53 + 15x = 8 + 0 53 + 15x = 8 Add '-53' to each side of the equation. 53 + -53 + 15x = 8 + -53 Combine like terms: 53 + -53 = 0 0 + 15x = 8 + -53 15x = 8 + -53 Combine like terms: 8 + -53 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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