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Simplifying 5x + 4x + -9 + 1 = -1x + -2x + 9 + 7 Reorder the terms: -9 + 1 + 5x + 4x = -1x + -2x + 9 + 7 Combine like terms: -9 + 1 = -8 -8 + 5x + 4x = -1x + -2x + 9 + 7 Combine like terms: 5x + 4x = 9x -8 + 9x = -1x + -2x + 9 + 7 Reorder the terms: -8 + 9x = 9 + 7 + -1x + -2x Combine like terms: 9 + 7 = 16 -8 + 9x = 16 + -1x + -2x Combine like terms: -1x + -2x = -3x -8 + 9x = 16 + -3x Solving -8 + 9x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 9x + 3x = 16 + -3x + 3x Combine like terms: 9x + 3x = 12x -8 + 12x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 12x = 16 + 0 -8 + 12x = 16 Add '8' to each side of the equation. -8 + 8 + 12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 16 + 8 12x = 16 + 8 Combine like terms: 16 + 8 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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