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Simplifying 3x + 4(x + 8) = 46 Reorder the terms: 3x + 4(8 + x) = 46 3x + (8 * 4 + x * 4) = 46 3x + (32 + 4x) = 46 Reorder the terms: 32 + 3x + 4x = 46 Combine like terms: 3x + 4x = 7x 32 + 7x = 46 Solving 32 + 7x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 46 + -32 7x = 46 + -32 Combine like terms: 46 + -32 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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