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Simplifying 12 + x = 5 + -6x Solving 12 + x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + x + 6x = 5 + -6x + 6x Combine like terms: x + 6x = 7x 12 + 7x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 7x = 5 + 0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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