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Simplifying x + 27 = 6x + -13 Reorder the terms: 27 + x = 6x + -13 Reorder the terms: 27 + x = -13 + 6x Solving 27 + x = -13 + 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. 27 + x + -6x = -13 + 6x + -6x Combine like terms: x + -6x = -5x 27 + -5x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -5x = -13 + 0 27 + -5x = -13 Add '-27' to each side of the equation. 27 + -27 + -5x = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -13 + -27 -5x = -13 + -27 Combine like terms: -13 + -27 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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