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Simplifying 4x + -4 = 12x + -52 Reorder the terms: -4 + 4x = 12x + -52 Reorder the terms: -4 + 4x = -52 + 12x Solving -4 + 4x = -52 + 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 + 4x + -12x = -52 + 12x + -12x Combine like terms: 4x + -12x = -8x -4 + -8x = -52 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -8x = -52 + 0 -4 + -8x = -52 Add '4' to each side of the equation. -4 + 4 + -8x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -52 + 4 -8x = -52 + 4 Combine like terms: -52 + 4 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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