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Simplifying 12x + 6 = 18x + -8 + 3x + -8 Reorder the terms: 6 + 12x = 18x + -8 + 3x + -8 Reorder the terms: 6 + 12x = -8 + -8 + 18x + 3x Combine like terms: -8 + -8 = -16 6 + 12x = -16 + 18x + 3x Combine like terms: 18x + 3x = 21x 6 + 12x = -16 + 21x Solving 6 + 12x = -16 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 6 + 12x + -21x = -16 + 21x + -21x Combine like terms: 12x + -21x = -9x 6 + -9x = -16 + 21x + -21x Combine like terms: 21x + -21x = 0 6 + -9x = -16 + 0 6 + -9x = -16 Add '-6' to each side of the equation. 6 + -6 + -9x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -16 + -6 -9x = -16 + -6 Combine like terms: -16 + -6 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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