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Simplifying 6x + 2 = 5x + -27 + 3x + 1 Reorder the terms: 2 + 6x = 5x + -27 + 3x + 1 Reorder the terms: 2 + 6x = -27 + 1 + 5x + 3x Combine like terms: -27 + 1 = -26 2 + 6x = -26 + 5x + 3x Combine like terms: 5x + 3x = 8x 2 + 6x = -26 + 8x Solving 2 + 6x = -26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 6x + -8x = -26 + 8x + -8x Combine like terms: 6x + -8x = -2x 2 + -2x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -2x = -26 + 0 2 + -2x = -26 Add '-2' to each side of the equation. 2 + -2 + -2x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -26 + -2 -2x = -26 + -2 Combine like terms: -26 + -2 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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