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Simplifying 5[3(x + 2) + 4] + 2x = 67 Reorder the terms: 5[3(2 + x) + 4] + 2x = 67 5[(2 * 3 + x * 3) + 4] + 2x = 67 5[(6 + 3x) + 4] + 2x = 67 Reorder the terms: 5[6 + 4 + 3x] + 2x = 67 Combine like terms: 6 + 4 = 10 5[10 + 3x] + 2x = 67 [10 * 5 + 3x * 5] + 2x = 67 [50 + 15x] + 2x = 67 Combine like terms: 15x + 2x = 17x 50 + 17x = 67 Solving 50 + 17x = 67 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 + 17x = 67 + -50 Combine like terms: 50 + -50 = 0 0 + 17x = 67 + -50 17x = 67 + -50 Combine like terms: 67 + -50 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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