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Simplifying 5x + -27 + 3x + 1 = 6x + 2 Reorder the terms: -27 + 1 + 5x + 3x = 6x + 2 Combine like terms: -27 + 1 = -26 -26 + 5x + 3x = 6x + 2 Combine like terms: 5x + 3x = 8x -26 + 8x = 6x + 2 Reorder the terms: -26 + 8x = 2 + 6x Solving -26 + 8x = 2 + 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. -26 + 8x + -6x = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x -26 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + 2x = 2 + 0 -26 + 2x = 2 Add '26' to each side of the equation. -26 + 26 + 2x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 2 + 26 2x = 2 + 26 Combine like terms: 2 + 26 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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