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Simplifying 12x + 7 = 6x + 13 Reorder the terms: 7 + 12x = 6x + 13 Reorder the terms: 7 + 12x = 13 + 6x Solving 7 + 12x = 13 + 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 = 13 + 6x + -6x Combine like terms: 12x + -6x = 6x 7 + 6x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 6x = 13 + 0 7 + 6x = 13 Add '-7' to each side of the equation. 7 + -7 + 6x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 13 + -7 6x = 13 + -7 Combine like terms: 13 + -7 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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