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Simplifying x + -5 + 20x + 12 = 54 + -6x + 34 Reorder the terms: -5 + 12 + x + 20x = 54 + -6x + 34 Combine like terms: -5 + 12 = 7 7 + x + 20x = 54 + -6x + 34 Combine like terms: x + 20x = 21x 7 + 21x = 54 + -6x + 34 Reorder the terms: 7 + 21x = 54 + 34 + -6x Combine like terms: 54 + 34 = 88 7 + 21x = 88 + -6x Solving 7 + 21x = 88 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 21x + 6x = 88 + -6x + 6x Combine like terms: 21x + 6x = 27x 7 + 27x = 88 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 27x = 88 + 0 7 + 27x = 88 Add '-7' to each side of the equation. 7 + -7 + 27x = 88 + -7 Combine like terms: 7 + -7 = 0 0 + 27x = 88 + -7 27x = 88 + -7 Combine like terms: 88 + -7 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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