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Simplifying 6 + -22 + -9x + 3 = 13 + 12x + -41 Reorder the terms: 6 + -22 + 3 + -9x = 13 + 12x + -41 Combine like terms: 6 + -22 = -16 -16 + 3 + -9x = 13 + 12x + -41 Combine like terms: -16 + 3 = -13 -13 + -9x = 13 + 12x + -41 Reorder the terms: -13 + -9x = 13 + -41 + 12x Combine like terms: 13 + -41 = -28 -13 + -9x = -28 + 12x Solving -13 + -9x = -28 + 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. -13 + -9x + -12x = -28 + 12x + -12x Combine like terms: -9x + -12x = -21x -13 + -21x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -21x = -28 + 0 -13 + -21x = -28 Add '13' to each side of the equation. -13 + 13 + -21x = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -21x = -28 + 13 -21x = -28 + 13 Combine like terms: -28 + 13 = -15 -21x = -15 Divide each side by '-21'. x = 0.7142857143 Simplifying x = 0.7142857143
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