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Simplifying 6x + 27 = 13x + -57 Reorder the terms: 27 + 6x = 13x + -57 Reorder the terms: 27 + 6x = -57 + 13x Solving 27 + 6x = -57 + 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 = -57 + 13x + -13x Combine like terms: 6x + -13x = -7x 27 + -7x = -57 + 13x + -13x Combine like terms: 13x + -13x = 0 27 + -7x = -57 + 0 27 + -7x = -57 Add '-27' to each side of the equation. 27 + -27 + -7x = -57 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -57 + -27 -7x = -57 + -27 Combine like terms: -57 + -27 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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