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Simplifying 12 + 6x + -7 = 3x + -2x Reorder the terms: 12 + -7 + 6x = 3x + -2x Combine like terms: 12 + -7 = 5 5 + 6x = 3x + -2x Combine like terms: 3x + -2x = 1x 5 + 6x = 1x Solving 5 + 6x = 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. 5 + 6x + -1x = 1x + -1x Combine like terms: 6x + -1x = 5x 5 + 5x = 1x + -1x Combine like terms: 1x + -1x = 0 5 + 5x = 0 Add '-5' to each side of the equation. 5 + -5 + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 0 + -5 5x = 0 + -5 Combine like terms: 0 + -5 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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