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Simplifying 12 + 6x = 13 + 5x Solving 12 + 6x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = 13 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 13 + 0 12 + 1x = 13 Add '-12' to each side of the equation. 12 + -12 + 1x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 13 + -12 1x = 13 + -12 Combine like terms: 13 + -12 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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