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Simplifying -1(-8x + 3) + 3(2 + 7x) = -55 Reorder the terms: -1(3 + -8x) + 3(2 + 7x) = -55 (3 * -1 + -8x * -1) + 3(2 + 7x) = -55 (-3 + 8x) + 3(2 + 7x) = -55 -3 + 8x + (2 * 3 + 7x * 3) = -55 -3 + 8x + (6 + 21x) = -55 Reorder the terms: -3 + 6 + 8x + 21x = -55 Combine like terms: -3 + 6 = 3 3 + 8x + 21x = -55 Combine like terms: 8x + 21x = 29x 3 + 29x = -55 Solving 3 + 29x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 29x = -55 + -3 Combine like terms: 3 + -3 = 0 0 + 29x = -55 + -3 29x = -55 + -3 Combine like terms: -55 + -3 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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