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Simplifying 9x + 13 + -12x + -17 = 6x + 23 + -3x + -29 Reorder the terms: 13 + -17 + 9x + -12x = 6x + 23 + -3x + -29 Combine like terms: 13 + -17 = -4 -4 + 9x + -12x = 6x + 23 + -3x + -29 Combine like terms: 9x + -12x = -3x -4 + -3x = 6x + 23 + -3x + -29 Reorder the terms: -4 + -3x = 23 + -29 + 6x + -3x Combine like terms: 23 + -29 = -6 -4 + -3x = -6 + 6x + -3x Combine like terms: 6x + -3x = 3x -4 + -3x = -6 + 3x Solving -4 + -3x = -6 + 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. -4 + -3x + -3x = -6 + 3x + -3x Combine like terms: -3x + -3x = -6x -4 + -6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -6x = -6 + 0 -4 + -6x = -6 Add '4' to each side of the equation. -4 + 4 + -6x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -6 + 4 -6x = -6 + 4 Combine like terms: -6 + 4 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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