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Simplifying 8x + 12 = 4x + 32 Reorder the terms: 12 + 8x = 4x + 32 Reorder the terms: 12 + 8x = 32 + 4x Solving 12 + 8x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 8x + -4x = 32 + 4x + -4x Combine like terms: 8x + -4x = 4x 12 + 4x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 4x = 32 + 0 12 + 4x = 32 Add '-12' to each side of the equation. 12 + -12 + 4x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 32 + -12 4x = 32 + -12 Combine like terms: 32 + -12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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