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Simplifying 8 + 3[2 + -13(x + -1)] = 20 + -18x Reorder the terms: 8 + 3[2 + -13(-1 + x)] = 20 + -18x 8 + 3[2 + (-1 * -13 + x * -13)] = 20 + -18x 8 + 3[2 + (13 + -13x)] = 20 + -18x Combine like terms: 2 + 13 = 15 8 + 3[15 + -13x] = 20 + -18x 8 + [15 * 3 + -13x * 3] = 20 + -18x 8 + [45 + -39x] = 20 + -18x Combine like terms: 8 + 45 = 53 53 + -39x = 20 + -18x Solving 53 + -39x = 20 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 53 + -39x + 18x = 20 + -18x + 18x Combine like terms: -39x + 18x = -21x 53 + -21x = 20 + -18x + 18x Combine like terms: -18x + 18x = 0 53 + -21x = 20 + 0 53 + -21x = 20 Add '-53' to each side of the equation. 53 + -53 + -21x = 20 + -53 Combine like terms: 53 + -53 = 0 0 + -21x = 20 + -53 -21x = 20 + -53 Combine like terms: 20 + -53 = -33 -21x = -33 Divide each side by '-21'. x = 1.571428571 Simplifying x = 1.571428571
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