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Simplifying 9x + -12 + 3x = 42 + -6x Reorder the terms: -12 + 9x + 3x = 42 + -6x Combine like terms: 9x + 3x = 12x -12 + 12x = 42 + -6x Solving -12 + 12x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 12x + 6x = 42 + -6x + 6x Combine like terms: 12x + 6x = 18x -12 + 18x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 18x = 42 + 0 -12 + 18x = 42 Add '12' to each side of the equation. -12 + 12 + 18x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 42 + 12 18x = 42 + 12 Combine like terms: 42 + 12 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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