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Simplifying 7x + -12 = 5x + 33 Reorder the terms: -12 + 7x = 5x + 33 Reorder the terms: -12 + 7x = 33 + 5x Solving -12 + 7x = 33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 7x + -5x = 33 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = 33 + 0 -12 + 2x = 33 Add '12' to each side of the equation. -12 + 12 + 2x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 33 + 12 2x = 33 + 12 Combine like terms: 33 + 12 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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