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Simplifying 3x + 4(x + 1) = 102 Reorder the terms: 3x + 4(1 + x) = 102 3x + (1 * 4 + x * 4) = 102 3x + (4 + 4x) = 102 Reorder the terms: 4 + 3x + 4x = 102 Combine like terms: 3x + 4x = 7x 4 + 7x = 102 Solving 4 + 7x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 102 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 102 + -4 7x = 102 + -4 Combine like terms: 102 + -4 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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