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Simplifying 20 + -1(8x + -2) = 5x + 2(-4x + 1) Reorder the terms: 20 + -1(-2 + 8x) = 5x + 2(-4x + 1) 20 + (-2 * -1 + 8x * -1) = 5x + 2(-4x + 1) 20 + (2 + -8x) = 5x + 2(-4x + 1) Combine like terms: 20 + 2 = 22 22 + -8x = 5x + 2(-4x + 1) Reorder the terms: 22 + -8x = 5x + 2(1 + -4x) 22 + -8x = 5x + (1 * 2 + -4x * 2) 22 + -8x = 5x + (2 + -8x) Reorder the terms: 22 + -8x = 2 + 5x + -8x Combine like terms: 5x + -8x = -3x 22 + -8x = 2 + -3x Solving 22 + -8x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + -8x + 3x = 2 + -3x + 3x Combine like terms: -8x + 3x = -5x 22 + -5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + -5x = 2 + 0 22 + -5x = 2 Add '-22' to each side of the equation. 22 + -22 + -5x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 2 + -22 -5x = 2 + -22 Combine like terms: 2 + -22 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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