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Simplifying 12(5x + 7) = 45x + -6 Reorder the terms: 12(7 + 5x) = 45x + -6 (7 * 12 + 5x * 12) = 45x + -6 (84 + 60x) = 45x + -6 Reorder the terms: 84 + 60x = -6 + 45x Solving 84 + 60x = -6 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 84 + 60x + -45x = -6 + 45x + -45x Combine like terms: 60x + -45x = 15x 84 + 15x = -6 + 45x + -45x Combine like terms: 45x + -45x = 0 84 + 15x = -6 + 0 84 + 15x = -6 Add '-84' to each side of the equation. 84 + -84 + 15x = -6 + -84 Combine like terms: 84 + -84 = 0 0 + 15x = -6 + -84 15x = -6 + -84 Combine like terms: -6 + -84 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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