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Simplifying 12x + 4 = 8x + 32 Reorder the terms: 4 + 12x = 8x + 32 Reorder the terms: 4 + 12x = 32 + 8x Solving 4 + 12x = 32 + 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 + 12x + -8x = 32 + 8x + -8x Combine like terms: 12x + -8x = 4x 4 + 4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 4x = 32 + 0 4 + 4x = 32 Add '-4' to each side of the equation. 4 + -4 + 4x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 32 + -4 4x = 32 + -4 Combine like terms: 32 + -4 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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