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Simplifying 27 + -6x = 83 + -13x Solving 27 + -6x = 83 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 27 + -6x + 13x = 83 + -13x + 13x Combine like terms: -6x + 13x = 7x 27 + 7x = 83 + -13x + 13x Combine like terms: -13x + 13x = 0 27 + 7x = 83 + 0 27 + 7x = 83 Add '-27' to each side of the equation. 27 + -27 + 7x = 83 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 83 + -27 7x = 83 + -27 Combine like terms: 83 + -27 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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