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Simplifying -4(1 + -4x) = 4(2x + -3) (1 * -4 + -4x * -4) = 4(2x + -3) (-4 + 16x) = 4(2x + -3) Reorder the terms: -4 + 16x = 4(-3 + 2x) -4 + 16x = (-3 * 4 + 2x * 4) -4 + 16x = (-12 + 8x) Solving -4 + 16x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 16x + -8x = -12 + 8x + -8x Combine like terms: 16x + -8x = 8x -4 + 8x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 8x = -12 + 0 -4 + 8x = -12 Add '4' to each side of the equation. -4 + 4 + 8x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -12 + 4 8x = -12 + 4 Combine like terms: -12 + 4 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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