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Simplifying 7(x + 1) + 3(x + 4) = 9 Reorder the terms: 7(1 + x) + 3(x + 4) = 9 (1 * 7 + x * 7) + 3(x + 4) = 9 (7 + 7x) + 3(x + 4) = 9 Reorder the terms: 7 + 7x + 3(4 + x) = 9 7 + 7x + (4 * 3 + x * 3) = 9 7 + 7x + (12 + 3x) = 9 Reorder the terms: 7 + 12 + 7x + 3x = 9 Combine like terms: 7 + 12 = 19 19 + 7x + 3x = 9 Combine like terms: 7x + 3x = 10x 19 + 10x = 9 Solving 19 + 10x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 10x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 10x = 9 + -19 10x = 9 + -19 Combine like terms: 9 + -19 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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