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Simplifying 7(x + 12) = 5(x + -4) Reorder the terms: 7(12 + x) = 5(x + -4) (12 * 7 + x * 7) = 5(x + -4) (84 + 7x) = 5(x + -4) Reorder the terms: 84 + 7x = 5(-4 + x) 84 + 7x = (-4 * 5 + x * 5) 84 + 7x = (-20 + 5x) Solving 84 + 7x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 84 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x 84 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + 2x = -20 + 0 84 + 2x = -20 Add '-84' to each side of the equation. 84 + -84 + 2x = -20 + -84 Combine like terms: 84 + -84 = 0 0 + 2x = -20 + -84 2x = -20 + -84 Combine like terms: -20 + -84 = -104 2x = -104 Divide each side by '2'. x = -52 Simplifying x = -52
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