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Simplifying 3(x + 1) + 4x = 45 Reorder the terms: 3(1 + x) + 4x = 45 (1 * 3 + x * 3) + 4x = 45 (3 + 3x) + 4x = 45 Combine like terms: 3x + 4x = 7x 3 + 7x = 45 Solving 3 + 7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 45 + -3 7x = 45 + -3 Combine like terms: 45 + -3 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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