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Simplifying 2[5 + -1(-6x + -6)] = 36x + 46 Reorder the terms: 2[5 + -1(-6 + -6x)] = 36x + 46 2[5 + (-6 * -1 + -6x * -1)] = 36x + 46 2[5 + (6 + 6x)] = 36x + 46 Combine like terms: 5 + 6 = 11 2[11 + 6x] = 36x + 46 [11 * 2 + 6x * 2] = 36x + 46 [22 + 12x] = 36x + 46 Reorder the terms: 22 + 12x = 46 + 36x Solving 22 + 12x = 46 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 22 + 12x + -36x = 46 + 36x + -36x Combine like terms: 12x + -36x = -24x 22 + -24x = 46 + 36x + -36x Combine like terms: 36x + -36x = 0 22 + -24x = 46 + 0 22 + -24x = 46 Add '-22' to each side of the equation. 22 + -22 + -24x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -24x = 46 + -22 -24x = 46 + -22 Combine like terms: 46 + -22 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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