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