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Simplifying 12x + 7(x + 1) = 102 Reorder the terms: 12x + 7(1 + x) = 102 12x + (1 * 7 + x * 7) = 102 12x + (7 + 7x) = 102 Reorder the terms: 7 + 12x + 7x = 102 Combine like terms: 12x + 7x = 19x 7 + 19x = 102 Solving 7 + 19x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 19x = 102 + -7 Combine like terms: 7 + -7 = 0 0 + 19x = 102 + -7 19x = 102 + -7 Combine like terms: 102 + -7 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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