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Simplifying -2x + 14x + 3 = 8x + 27 Reorder the terms: 3 + -2x + 14x = 8x + 27 Combine like terms: -2x + 14x = 12x 3 + 12x = 8x + 27 Reorder the terms: 3 + 12x = 27 + 8x Solving 3 + 12x = 27 + 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. 3 + 12x + -8x = 27 + 8x + -8x Combine like terms: 12x + -8x = 4x 3 + 4x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 4x = 27 + 0 3 + 4x = 27 Add '-3' to each side of the equation. 3 + -3 + 4x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 27 + -3 4x = 27 + -3 Combine like terms: 27 + -3 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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