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Simplifying x + -5 + -2x = 9x + 9 + -12x Reorder the terms: -5 + x + -2x = 9x + 9 + -12x Combine like terms: x + -2x = -1x -5 + -1x = 9x + 9 + -12x Reorder the terms: -5 + -1x = 9 + 9x + -12x Combine like terms: 9x + -12x = -3x -5 + -1x = 9 + -3x Solving -5 + -1x = 9 + -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. -5 + -1x + 3x = 9 + -3x + 3x Combine like terms: -1x + 3x = 2x -5 + 2x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 2x = 9 + 0 -5 + 2x = 9 Add '5' to each side of the equation. -5 + 5 + 2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9 + 5 2x = 9 + 5 Combine like terms: 9 + 5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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