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Simplifying 6(4x + 12) + 2 = -5(12x + 2) Reorder the terms: 6(12 + 4x) + 2 = -5(12x + 2) (12 * 6 + 4x * 6) + 2 = -5(12x + 2) (72 + 24x) + 2 = -5(12x + 2) Reorder the terms: 72 + 2 + 24x = -5(12x + 2) Combine like terms: 72 + 2 = 74 74 + 24x = -5(12x + 2) Reorder the terms: 74 + 24x = -5(2 + 12x) 74 + 24x = (2 * -5 + 12x * -5) 74 + 24x = (-10 + -60x) Solving 74 + 24x = -10 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 74 + 24x + 60x = -10 + -60x + 60x Combine like terms: 24x + 60x = 84x 74 + 84x = -10 + -60x + 60x Combine like terms: -60x + 60x = 0 74 + 84x = -10 + 0 74 + 84x = -10 Add '-74' to each side of the equation. 74 + -74 + 84x = -10 + -74 Combine like terms: 74 + -74 = 0 0 + 84x = -10 + -74 84x = -10 + -74 Combine like terms: -10 + -74 = -84 84x = -84 Divide each side by '84'. x = -1 Simplifying x = -1
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