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Simplifying 12 + 7x = 1x + -6 Reorder the terms: 12 + 7x = -6 + 1x Solving 12 + 7x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 7x + -1x = -6 + 1x + -1x Combine like terms: 7x + -1x = 6x 12 + 6x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 6x = -6 + 0 12 + 6x = -6 Add '-12' to each side of the equation. 12 + -12 + 6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -6 + -12 6x = -6 + -12 Combine like terms: -6 + -12 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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