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Simplifying 4x + -1(2x + -8) = -1(-5x + 4) + -5x + 20 Reorder the terms: 4x + -1(-8 + 2x) = -1(-5x + 4) + -5x + 20 4x + (-8 * -1 + 2x * -1) = -1(-5x + 4) + -5x + 20 4x + (8 + -2x) = -1(-5x + 4) + -5x + 20 Reorder the terms: 8 + 4x + -2x = -1(-5x + 4) + -5x + 20 Combine like terms: 4x + -2x = 2x 8 + 2x = -1(-5x + 4) + -5x + 20 Reorder the terms: 8 + 2x = -1(4 + -5x) + -5x + 20 8 + 2x = (4 * -1 + -5x * -1) + -5x + 20 8 + 2x = (-4 + 5x) + -5x + 20 Reorder the terms: 8 + 2x = -4 + 20 + 5x + -5x Combine like terms: -4 + 20 = 16 8 + 2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 2x = 16 + 0 8 + 2x = 16 Solving 8 + 2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 16 + -8 2x = 16 + -8 Combine like terms: 16 + -8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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