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Simplifying -12x + -5 + -9 + 4x = 8x + -13x + 15 + -8 Reorder the terms: -5 + -9 + -12x + 4x = 8x + -13x + 15 + -8 Combine like terms: -5 + -9 = -14 -14 + -12x + 4x = 8x + -13x + 15 + -8 Combine like terms: -12x + 4x = -8x -14 + -8x = 8x + -13x + 15 + -8 Reorder the terms: -14 + -8x = 15 + -8 + 8x + -13x Combine like terms: 15 + -8 = 7 -14 + -8x = 7 + 8x + -13x Combine like terms: 8x + -13x = -5x -14 + -8x = 7 + -5x Solving -14 + -8x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + -8x + 5x = 7 + -5x + 5x Combine like terms: -8x + 5x = -3x -14 + -3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + -3x = 7 + 0 -14 + -3x = 7 Add '14' to each side of the equation. -14 + 14 + -3x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 7 + 14 -3x = 7 + 14 Combine like terms: 7 + 14 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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