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Simplifying 8x + -12 + 8x + -32 = 4x + 12 Reorder the terms: -12 + -32 + 8x + 8x = 4x + 12 Combine like terms: -12 + -32 = -44 -44 + 8x + 8x = 4x + 12 Combine like terms: 8x + 8x = 16x -44 + 16x = 4x + 12 Reorder the terms: -44 + 16x = 12 + 4x Solving -44 + 16x = 12 + 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. -44 + 16x + -4x = 12 + 4x + -4x Combine like terms: 16x + -4x = 12x -44 + 12x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -44 + 12x = 12 + 0 -44 + 12x = 12 Add '44' to each side of the equation. -44 + 44 + 12x = 12 + 44 Combine like terms: -44 + 44 = 0 0 + 12x = 12 + 44 12x = 12 + 44 Combine like terms: 12 + 44 = 56 12x = 56 Divide each side by '12'. x = 4.666666667 Simplifying x = 4.666666667
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