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Simplifying (27x + -12) + 12 = (22x + 8) + 12 Reorder the terms: (-12 + 27x) + 12 = (22x + 8) + 12 Remove parenthesis around (-12 + 27x) -12 + 27x + 12 = (22x + 8) + 12 Reorder the terms: -12 + 12 + 27x = (22x + 8) + 12 Combine like terms: -12 + 12 = 0 0 + 27x = (22x + 8) + 12 27x = (22x + 8) + 12 Reorder the terms: 27x = (8 + 22x) + 12 Remove parenthesis around (8 + 22x) 27x = 8 + 22x + 12 Reorder the terms: 27x = 8 + 12 + 22x Combine like terms: 8 + 12 = 20 27x = 20 + 22x Solving 27x = 20 + 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. 27x + -22x = 20 + 22x + -22x Combine like terms: 27x + -22x = 5x 5x = 20 + 22x + -22x Combine like terms: 22x + -22x = 0 5x = 20 + 0 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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