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Simplifying 13x + 9x + -12 = 12x + 18 Reorder the terms: -12 + 13x + 9x = 12x + 18 Combine like terms: 13x + 9x = 22x -12 + 22x = 12x + 18 Reorder the terms: -12 + 22x = 18 + 12x Solving -12 + 22x = 18 + 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. -12 + 22x + -12x = 18 + 12x + -12x Combine like terms: 22x + -12x = 10x -12 + 10x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 10x = 18 + 0 -12 + 10x = 18 Add '12' to each side of the equation. -12 + 12 + 10x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 18 + 12 10x = 18 + 12 Combine like terms: 18 + 12 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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