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Simplifying 6x + (12) + 3x + (-34) = 41 6x + 12 + 3x + (-34) = 41 6x + 12 + 3x + -34 = 41 Reorder the terms: 12 + -34 + 6x + 3x = 41 Combine like terms: 12 + -34 = -22 -22 + 6x + 3x = 41 Combine like terms: 6x + 3x = 9x -22 + 9x = 41 Solving -22 + 9x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 9x = 41 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 41 + 22 9x = 41 + 22 Combine like terms: 41 + 22 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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