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