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Simplifying 3x + 4(x + 13) = 101 Reorder the terms: 3x + 4(13 + x) = 101 3x + (13 * 4 + x * 4) = 101 3x + (52 + 4x) = 101 Reorder the terms: 52 + 3x + 4x = 101 Combine like terms: 3x + 4x = 7x 52 + 7x = 101 Solving 52 + 7x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 7x = 101 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 101 + -52 7x = 101 + -52 Combine like terms: 101 + -52 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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