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Simplifying 7x + 6x + -12 = 12 + -2x + 6 Reorder the terms: -12 + 7x + 6x = 12 + -2x + 6 Combine like terms: 7x + 6x = 13x -12 + 13x = 12 + -2x + 6 Reorder the terms: -12 + 13x = 12 + 6 + -2x Combine like terms: 12 + 6 = 18 -12 + 13x = 18 + -2x Solving -12 + 13x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 13x + 2x = 18 + -2x + 2x Combine like terms: 13x + 2x = 15x -12 + 15x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 15x = 18 + 0 -12 + 15x = 18 Add '12' to each side of the equation. -12 + 12 + 15x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 18 + 12 15x = 18 + 12 Combine like terms: 18 + 12 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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