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Simplifying 4x + 3(x + 1) + 7 = 24 Reorder the terms: 4x + 3(1 + x) + 7 = 24 4x + (1 * 3 + x * 3) + 7 = 24 4x + (3 + 3x) + 7 = 24 Reorder the terms: 3 + 7 + 4x + 3x = 24 Combine like terms: 3 + 7 = 10 10 + 4x + 3x = 24 Combine like terms: 4x + 3x = 7x 10 + 7x = 24 Solving 10 + 7x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 24 + -10 7x = 24 + -10 Combine like terms: 24 + -10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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