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Simplifying 12x + 7 = -6x + 25 Reorder the terms: 7 + 12x = -6x + 25 Reorder the terms: 7 + 12x = 25 + -6x Solving 7 + 12x = 25 + -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. 7 + 12x + 6x = 25 + -6x + 6x Combine like terms: 12x + 6x = 18x 7 + 18x = 25 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 18x = 25 + 0 7 + 18x = 25 Add '-7' to each side of the equation. 7 + -7 + 18x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 25 + -7 18x = 25 + -7 Combine like terms: 25 + -7 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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