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Simplifying 5[2(3x + 22) + -11] + 4 = 29 Reorder the terms: 5[2(22 + 3x) + -11] + 4 = 29 5[(22 * 2 + 3x * 2) + -11] + 4 = 29 5[(44 + 6x) + -11] + 4 = 29 Reorder the terms: 5[44 + -11 + 6x] + 4 = 29 Combine like terms: 44 + -11 = 33 5[33 + 6x] + 4 = 29 [33 * 5 + 6x * 5] + 4 = 29 [165 + 30x] + 4 = 29 Reorder the terms: 165 + 4 + 30x = 29 Combine like terms: 165 + 4 = 169 169 + 30x = 29 Solving 169 + 30x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + 30x = 29 + -169 Combine like terms: 169 + -169 = 0 0 + 30x = 29 + -169 30x = 29 + -169 Combine like terms: 29 + -169 = -140 30x = -140 Divide each side by '30'. x = -4.666666667 Simplifying x = -4.666666667
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