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Simplifying 2[5 + -1(6x + -6)] = 24x + 34 Reorder the terms: 2[5 + -1(-6 + 6x)] = 24x + 34 2[5 + (-6 * -1 + 6x * -1)] = 24x + 34 2[5 + (6 + -6x)] = 24x + 34 Combine like terms: 5 + 6 = 11 2[11 + -6x] = 24x + 34 [11 * 2 + -6x * 2] = 24x + 34 [22 + -12x] = 24x + 34 Reorder the terms: 22 + -12x = 34 + 24x Solving 22 + -12x = 34 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 22 + -12x + -24x = 34 + 24x + -24x Combine like terms: -12x + -24x = -36x 22 + -36x = 34 + 24x + -24x Combine like terms: 24x + -24x = 0 22 + -36x = 34 + 0 22 + -36x = 34 Add '-22' to each side of the equation. 22 + -22 + -36x = 34 + -22 Combine like terms: 22 + -22 = 0 0 + -36x = 34 + -22 -36x = 34 + -22 Combine like terms: 34 + -22 = 12 -36x = 12 Divide each side by '-36'. x = -0.3333333333 Simplifying x = -0.3333333333
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