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Simplifying 7x + 13 = 2x + -27 Reorder the terms: 13 + 7x = 2x + -27 Reorder the terms: 13 + 7x = -27 + 2x Solving 13 + 7x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 7x + -2x = -27 + 2x + -2x Combine like terms: 7x + -2x = 5x 13 + 5x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 5x = -27 + 0 13 + 5x = -27 Add '-13' to each side of the equation. 13 + -13 + 5x = -27 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = -27 + -13 5x = -27 + -13 Combine like terms: -27 + -13 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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