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Simplifying 3x + 27 = -2x + 7 Reorder the terms: 27 + 3x = -2x + 7 Reorder the terms: 27 + 3x = 7 + -2x Solving 27 + 3x = 7 + -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. 27 + 3x + 2x = 7 + -2x + 2x Combine like terms: 3x + 2x = 5x 27 + 5x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 5x = 7 + 0 27 + 5x = 7 Add '-27' to each side of the equation. 27 + -27 + 5x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 7 + -27 5x = 7 + -27 Combine like terms: 7 + -27 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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