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Simplifying 3(x + 1) + 4(x + 1) = 49 Reorder the terms: 3(1 + x) + 4(x + 1) = 49 (1 * 3 + x * 3) + 4(x + 1) = 49 (3 + 3x) + 4(x + 1) = 49 Reorder the terms: 3 + 3x + 4(1 + x) = 49 3 + 3x + (1 * 4 + x * 4) = 49 3 + 3x + (4 + 4x) = 49 Reorder the terms: 3 + 4 + 3x + 4x = 49 Combine like terms: 3 + 4 = 7 7 + 3x + 4x = 49 Combine like terms: 3x + 4x = 7x 7 + 7x = 49 Solving 7 + 7x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7x = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 49 + -7 7x = 49 + -7 Combine like terms: 49 + -7 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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