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Simplifying 7(x + 1) + 5(x + 1) = 144 Reorder the terms: 7(1 + x) + 5(x + 1) = 144 (1 * 7 + x * 7) + 5(x + 1) = 144 (7 + 7x) + 5(x + 1) = 144 Reorder the terms: 7 + 7x + 5(1 + x) = 144 7 + 7x + (1 * 5 + x * 5) = 144 7 + 7x + (5 + 5x) = 144 Reorder the terms: 7 + 5 + 7x + 5x = 144 Combine like terms: 7 + 5 = 12 12 + 7x + 5x = 144 Combine like terms: 7x + 5x = 12x 12 + 12x = 144 Solving 12 + 12x = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12x = 144 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 144 + -12 12x = 144 + -12 Combine like terms: 144 + -12 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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