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Simplifying 12x + -7 = 10x + 5 Reorder the terms: -7 + 12x = 10x + 5 Reorder the terms: -7 + 12x = 5 + 10x Solving -7 + 12x = 5 + 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 = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x -7 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 2x = 5 + 0 -7 + 2x = 5 Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 2x = 5 + 7 Combine like terms: 5 + 7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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