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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 = 54 -22 + -6x = 54 + 12x Solving -22 + -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. -22 + -6x + -12x = 54 + 12x + -12x Combine like terms: -6x + -12x = -18x -22 + -18x = 54 + 12x + -12x Combine like terms: 12x + -12x = 0 -22 + -18x = 54 + 0 -22 + -18x = 54 Add '22' to each side of the equation. -22 + 22 + -18x = 54 + 22 Combine like terms: -22 + 22 = 0 0 + -18x = 54 + 22 -18x = 54 + 22 Combine like terms: 54 + 22 = 76 -18x = 76 Divide each side by '-18'. x = -4.222222222 Simplifying x = -4.222222222
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