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Simplifying 6 + -22 + 9x + -3x = 13 + 12x + 41 Combine like terms: 6 + -22 = -16 -16 + 9x + -3x = 13 + 12x + 41 Combine like terms: 9x + -3x = 6x -16 + 6x = 13 + 12x + 41 Reorder the terms: -16 + 6x = 13 + 41 + 12x Combine like terms: 13 + 41 = 54 -16 + 6x = 54 + 12x Solving -16 + 6x = 54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 6x + -12x = 54 + 12x + -12x Combine like terms: 6x + -12x = -6x -16 + -6x = 54 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -6x = 54 + 0 -16 + -6x = 54 Add '16' to each side of the equation. -16 + 16 + -6x = 54 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 54 + 16 -6x = 54 + 16 Combine like terms: 54 + 16 = 70 -6x = 70 Divide each side by '-6'. x = -11.66666667 Simplifying x = -11.66666667
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