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Simplifying 2x + -5 + 6x + -9 = -3x + 4 + -1x + 7 Reorder the terms: -5 + -9 + 2x + 6x = -3x + 4 + -1x + 7 Combine like terms: -5 + -9 = -14 -14 + 2x + 6x = -3x + 4 + -1x + 7 Combine like terms: 2x + 6x = 8x -14 + 8x = -3x + 4 + -1x + 7 Reorder the terms: -14 + 8x = 4 + 7 + -3x + -1x Combine like terms: 4 + 7 = 11 -14 + 8x = 11 + -3x + -1x Combine like terms: -3x + -1x = -4x -14 + 8x = 11 + -4x Solving -14 + 8x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 8x + 4x = 11 + -4x + 4x Combine like terms: 8x + 4x = 12x -14 + 12x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 12x = 11 + 0 -14 + 12x = 11 Add '14' to each side of the equation. -14 + 14 + 12x = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 11 + 14 12x = 11 + 14 Combine like terms: 11 + 14 = 25 12x = 25 Divide each side by '12'. x = 2.083333333 Simplifying x = 2.083333333
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