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Simplifying 3x + 2(4x + 14) = 83 Reorder the terms: 3x + 2(14 + 4x) = 83 3x + (14 * 2 + 4x * 2) = 83 3x + (28 + 8x) = 83 Reorder the terms: 28 + 3x + 8x = 83 Combine like terms: 3x + 8x = 11x 28 + 11x = 83 Solving 28 + 11x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 11x = 83 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 83 + -28 11x = 83 + -28 Combine like terms: 83 + -28 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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