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Simplifying 6x + 12 = -7x + 25 Reorder the terms: 12 + 6x = -7x + 25 Reorder the terms: 12 + 6x = 25 + -7x Solving 12 + 6x = 25 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 6x + 7x = 25 + -7x + 7x Combine like terms: 6x + 7x = 13x 12 + 13x = 25 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 13x = 25 + 0 12 + 13x = 25 Add '-12' to each side of the equation. 12 + -12 + 13x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 25 + -12 13x = 25 + -12 Combine like terms: 25 + -12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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