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Simplifying 5(x + 7) + 7(x + 7) = 42 Reorder the terms: 5(7 + x) + 7(x + 7) = 42 (7 * 5 + x * 5) + 7(x + 7) = 42 (35 + 5x) + 7(x + 7) = 42 Reorder the terms: 35 + 5x + 7(7 + x) = 42 35 + 5x + (7 * 7 + x * 7) = 42 35 + 5x + (49 + 7x) = 42 Reorder the terms: 35 + 49 + 5x + 7x = 42 Combine like terms: 35 + 49 = 84 84 + 5x + 7x = 42 Combine like terms: 5x + 7x = 12x 84 + 12x = 42 Solving 84 + 12x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 12x = 42 + -84 Combine like terms: 84 + -84 = 0 0 + 12x = 42 + -84 12x = 42 + -84 Combine like terms: 42 + -84 = -42 12x = -42 Divide each side by '12'. x = -3.5 Simplifying x = -3.5
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