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Simplifying 12x + 7 = 10x + 13 Reorder the terms: 7 + 12x = 10x + 13 Reorder the terms: 7 + 12x = 13 + 10x Solving 7 + 12x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 12x + -10x = 13 + 10x + -10x Combine like terms: 12x + -10x = 2x 7 + 2x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 2x = 13 + 0 7 + 2x = 13 Add '-7' to each side of the equation. 7 + -7 + 2x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 13 + -7 2x = 13 + -7 Combine like terms: 13 + -7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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