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Simplifying -4(1 + 4x) = -12(x + -4) (1 * -4 + 4x * -4) = -12(x + -4) (-4 + -16x) = -12(x + -4) Reorder the terms: -4 + -16x = -12(-4 + x) -4 + -16x = (-4 * -12 + x * -12) -4 + -16x = (48 + -12x) Solving -4 + -16x = 48 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + -16x + 12x = 48 + -12x + 12x Combine like terms: -16x + 12x = -4x -4 + -4x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + -4x = 48 + 0 -4 + -4x = 48 Add '4' to each side of the equation. -4 + 4 + -4x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 48 + 4 -4x = 48 + 4 Combine like terms: 48 + 4 = 52 -4x = 52 Divide each side by '-4'. x = -13 Simplifying x = -13
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