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Simplifying 5[2(3x + 2) + -11] + 4 = 29 Reorder the terms: 5[2(2 + 3x) + -11] + 4 = 29 5[(2 * 2 + 3x * 2) + -11] + 4 = 29 5[(4 + 6x) + -11] + 4 = 29 Reorder the terms: 5[4 + -11 + 6x] + 4 = 29 Combine like terms: 4 + -11 = -7 5[-7 + 6x] + 4 = 29 [-7 * 5 + 6x * 5] + 4 = 29 [-35 + 30x] + 4 = 29 Reorder the terms: -35 + 4 + 30x = 29 Combine like terms: -35 + 4 = -31 -31 + 30x = 29 Solving -31 + 30x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 30x = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 30x = 29 + 31 30x = 29 + 31 Combine like terms: 29 + 31 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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