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Simplifying 27x + 7 = 22x + -33 Reorder the terms: 7 + 27x = 22x + -33 Reorder the terms: 7 + 27x = -33 + 22x Solving 7 + 27x = -33 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 7 + 27x + -22x = -33 + 22x + -22x Combine like terms: 27x + -22x = 5x 7 + 5x = -33 + 22x + -22x Combine like terms: 22x + -22x = 0 7 + 5x = -33 + 0 7 + 5x = -33 Add '-7' to each side of the equation. 7 + -7 + 5x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -33 + -7 5x = -33 + -7 Combine like terms: -33 + -7 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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