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