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Simplifying 12x + 33 = 7x + 18 Reorder the terms: 33 + 12x = 7x + 18 Reorder the terms: 33 + 12x = 18 + 7x Solving 33 + 12x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 33 + 12x + -7x = 18 + 7x + -7x Combine like terms: 12x + -7x = 5x 33 + 5x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 33 + 5x = 18 + 0 33 + 5x = 18 Add '-33' to each side of the equation. 33 + -33 + 5x = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 5x = 18 + -33 5x = 18 + -33 Combine like terms: 18 + -33 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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