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Simplifying 6x + 22 + -9x + -3x = 13 + 12x + -41 Reorder the terms: 22 + 6x + -9x + -3x = 13 + 12x + -41 Combine like terms: 6x + -9x = -3x 22 + -3x + -3x = 13 + 12x + -41 Combine like terms: -3x + -3x = -6x 22 + -6x = 13 + 12x + -41 Reorder the terms: 22 + -6x = 13 + -41 + 12x Combine like terms: 13 + -41 = -28 22 + -6x = -28 + 12x Solving 22 + -6x = -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. 22 + -6x + -12x = -28 + 12x + -12x Combine like terms: -6x + -12x = -18x 22 + -18x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -18x = -28 + 0 22 + -18x = -28 Add '-22' to each side of the equation. 22 + -22 + -18x = -28 + -22 Combine like terms: 22 + -22 = 0 0 + -18x = -28 + -22 -18x = -28 + -22 Combine like terms: -28 + -22 = -50 -18x = -50 Divide each side by '-18'. x = 2.777777778 Simplifying x = 2.777777778
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