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Simplifying -47 + 12x = 8x + 33 Reorder the terms: -47 + 12x = 33 + 8x Solving -47 + 12x = 33 + 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. -47 + 12x + -8x = 33 + 8x + -8x Combine like terms: 12x + -8x = 4x -47 + 4x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 -47 + 4x = 33 + 0 -47 + 4x = 33 Add '47' to each side of the equation. -47 + 47 + 4x = 33 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = 33 + 47 4x = 33 + 47 Combine like terms: 33 + 47 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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