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Simplifying -1(-4x + -8) + 2(4x + 7) = 1 Reorder the terms: -1(-8 + -4x) + 2(4x + 7) = 1 (-8 * -1 + -4x * -1) + 2(4x + 7) = 1 (8 + 4x) + 2(4x + 7) = 1 Reorder the terms: 8 + 4x + 2(7 + 4x) = 1 8 + 4x + (7 * 2 + 4x * 2) = 1 8 + 4x + (14 + 8x) = 1 Reorder the terms: 8 + 14 + 4x + 8x = 1 Combine like terms: 8 + 14 = 22 22 + 4x + 8x = 1 Combine like terms: 4x + 8x = 12x 22 + 12x = 1 Solving 22 + 12x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 12x = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 12x = 1 + -22 12x = 1 + -22 Combine like terms: 1 + -22 = -21 12x = -21 Divide each side by '12'. x = -1.75 Simplifying x = -1.75
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