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Simplifying 5[6x + 1] = 3[-8 + x] + 2 Reorder the terms: 5[1 + 6x] = 3[-8 + x] + 2 [1 * 5 + 6x * 5] = 3[-8 + x] + 2 [5 + 30x] = 3[-8 + x] + 2 5 + 30x = [-8 * 3 + x * 3] + 2 5 + 30x = [-24 + 3x] + 2 Reorder the terms: 5 + 30x = -24 + 2 + 3x Combine like terms: -24 + 2 = -22 5 + 30x = -22 + 3x Solving 5 + 30x = -22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 30x + -3x = -22 + 3x + -3x Combine like terms: 30x + -3x = 27x 5 + 27x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 27x = -22 + 0 5 + 27x = -22 Add '-5' to each side of the equation. 5 + -5 + 27x = -22 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = -22 + -5 27x = -22 + -5 Combine like terms: -22 + -5 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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