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Simplifying 3x + 12x + -8 + -2x = 12x Reorder the terms: -8 + 3x + 12x + -2x = 12x Combine like terms: 3x + 12x = 15x -8 + 15x + -2x = 12x Combine like terms: 15x + -2x = 13x -8 + 13x = 12x Solving -8 + 13x = 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. -8 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x -8 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 1x = 0 Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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