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Simplifying 5 + 12x + -2 = 8x + 27 + -2x Reorder the terms: 5 + -2 + 12x = 8x + 27 + -2x Combine like terms: 5 + -2 = 3 3 + 12x = 8x + 27 + -2x Reorder the terms: 3 + 12x = 27 + 8x + -2x Combine like terms: 8x + -2x = 6x 3 + 12x = 27 + 6x Solving 3 + 12x = 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. 3 + 12x + -6x = 27 + 6x + -6x Combine like terms: 12x + -6x = 6x 3 + 6x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 6x = 27 + 0 3 + 6x = 27 Add '-3' to each side of the equation. 3 + -3 + 6x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 27 + -3 6x = 27 + -3 Combine like terms: 27 + -3 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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