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Simplifying -8 + 6(4x + 5) = (6x + -1) + 2 Reorder the terms: -8 + 6(5 + 4x) = (6x + -1) + 2 -8 + (5 * 6 + 4x * 6) = (6x + -1) + 2 -8 + (30 + 24x) = (6x + -1) + 2 Combine like terms: -8 + 30 = 22 22 + 24x = (6x + -1) + 2 Reorder the terms: 22 + 24x = (-1 + 6x) + 2 Remove parenthesis around (-1 + 6x) 22 + 24x = -1 + 6x + 2 Reorder the terms: 22 + 24x = -1 + 2 + 6x Combine like terms: -1 + 2 = 1 22 + 24x = 1 + 6x Solving 22 + 24x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + 24x + -6x = 1 + 6x + -6x Combine like terms: 24x + -6x = 18x 22 + 18x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 18x = 1 + 0 22 + 18x = 1 Add '-22' to each side of the equation. 22 + -22 + 18x = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 18x = 1 + -22 18x = 1 + -22 Combine like terms: 1 + -22 = -21 18x = -21 Divide each side by '18'. x = -1.166666667 Simplifying x = -1.166666667
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