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Simplifying 2[4(x + 6) + 1] + 3x = 17 Reorder the terms: 2[4(6 + x) + 1] + 3x = 17 2[(6 * 4 + x * 4) + 1] + 3x = 17 2[(24 + 4x) + 1] + 3x = 17 Reorder the terms: 2[24 + 1 + 4x] + 3x = 17 Combine like terms: 24 + 1 = 25 2[25 + 4x] + 3x = 17 [25 * 2 + 4x * 2] + 3x = 17 [50 + 8x] + 3x = 17 Combine like terms: 8x + 3x = 11x 50 + 11x = 17 Solving 50 + 11x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 11x = 17 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 17 + -50 11x = 17 + -50 Combine like terms: 17 + -50 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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