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Simplifying 2x + 13 = -27 + -6x Reorder the terms: 13 + 2x = -27 + -6x Solving 13 + 2x = -27 + -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. 13 + 2x + 6x = -27 + -6x + 6x Combine like terms: 2x + 6x = 8x 13 + 8x = -27 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 8x = -27 + 0 13 + 8x = -27 Add '-13' to each side of the equation. 13 + -13 + 8x = -27 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = -27 + -13 8x = -27 + -13 Combine like terms: -27 + -13 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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