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Simplifying 4(4x + -1) = 4(2 + 1x) Reorder the terms: 4(-1 + 4x) = 4(2 + 1x) (-1 * 4 + 4x * 4) = 4(2 + 1x) (-4 + 16x) = 4(2 + 1x) -4 + 16x = (2 * 4 + 1x * 4) -4 + 16x = (8 + 4x) Solving -4 + 16x = 8 + 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 = 8 + 4x + -4x Combine like terms: 16x + -4x = 12x -4 + 12x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 12x = 8 + 0 -4 + 12x = 8 Add '4' to each side of the equation. -4 + 4 + 12x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 8 + 4 12x = 8 + 4 Combine like terms: 8 + 4 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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