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Simplifying -6x + -8x + 12x + -126 = 130 + -2x + 8x + -25 Reorder the terms: -126 + -6x + -8x + 12x = 130 + -2x + 8x + -25 Combine like terms: -6x + -8x = -14x -126 + -14x + 12x = 130 + -2x + 8x + -25 Combine like terms: -14x + 12x = -2x -126 + -2x = 130 + -2x + 8x + -25 Reorder the terms: -126 + -2x = 130 + -25 + -2x + 8x Combine like terms: 130 + -25 = 105 -126 + -2x = 105 + -2x + 8x Combine like terms: -2x + 8x = 6x -126 + -2x = 105 + 6x Solving -126 + -2x = 105 + 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. -126 + -2x + -6x = 105 + 6x + -6x Combine like terms: -2x + -6x = -8x -126 + -8x = 105 + 6x + -6x Combine like terms: 6x + -6x = 0 -126 + -8x = 105 + 0 -126 + -8x = 105 Add '126' to each side of the equation. -126 + 126 + -8x = 105 + 126 Combine like terms: -126 + 126 = 0 0 + -8x = 105 + 126 -8x = 105 + 126 Combine like terms: 105 + 126 = 231 -8x = 231 Divide each side by '-8'. x = -28.875 Simplifying x = -28.875
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