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Simplifying x + 5 + -2x + 9 + 12x + -2 = 9x + -5 Reorder the terms: 5 + 9 + -2 + x + -2x + 12x = 9x + -5 Combine like terms: 5 + 9 = 14 14 + -2 + x + -2x + 12x = 9x + -5 Combine like terms: 14 + -2 = 12 12 + x + -2x + 12x = 9x + -5 Combine like terms: x + -2x = -1x 12 + -1x + 12x = 9x + -5 Combine like terms: -1x + 12x = 11x 12 + 11x = 9x + -5 Reorder the terms: 12 + 11x = -5 + 9x Solving 12 + 11x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 11x + -9x = -5 + 9x + -9x Combine like terms: 11x + -9x = 2x 12 + 2x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 2x = -5 + 0 12 + 2x = -5 Add '-12' to each side of the equation. 12 + -12 + 2x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -5 + -12 2x = -5 + -12 Combine like terms: -5 + -12 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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