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Simplifying 12 + 13x = 7x + 36 Reorder the terms: 12 + 13x = 36 + 7x Solving 12 + 13x = 36 + 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 + 13x + -7x = 36 + 7x + -7x Combine like terms: 13x + -7x = 6x 12 + 6x = 36 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 6x = 36 + 0 12 + 6x = 36 Add '-12' to each side of the equation. 12 + -12 + 6x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 36 + -12 6x = 36 + -12 Combine like terms: 36 + -12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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