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Simplifying -7 + 8x = -12x + 33 Reorder the terms: -7 + 8x = 33 + -12x Solving -7 + 8x = 33 + -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. -7 + 8x + 12x = 33 + -12x + 12x Combine like terms: 8x + 12x = 20x -7 + 20x = 33 + -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 20x = 33 + 0 -7 + 20x = 33 Add '7' to each side of the equation. -7 + 7 + 20x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 33 + 7 20x = 33 + 7 Combine like terms: 33 + 7 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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