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Simplifying 3x + 12 + -9x = 12x + -6x Reorder the terms: 12 + 3x + -9x = 12x + -6x Combine like terms: 3x + -9x = -6x 12 + -6x = 12x + -6x Combine like terms: 12x + -6x = 6x 12 + -6x = 6x Solving 12 + -6x = 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 + -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x 12 + -12x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -12x = 0 Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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