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Simplifying 12x + -10 + -2x = 12 + 7x + -7 Reorder the terms: -10 + 12x + -2x = 12 + 7x + -7 Combine like terms: 12x + -2x = 10x -10 + 10x = 12 + 7x + -7 Reorder the terms: -10 + 10x = 12 + -7 + 7x Combine like terms: 12 + -7 = 5 -10 + 10x = 5 + 7x Solving -10 + 10x = 5 + 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. -10 + 10x + -7x = 5 + 7x + -7x Combine like terms: 10x + -7x = 3x -10 + 3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 3x = 5 + 0 -10 + 3x = 5 Add '10' to each side of the equation. -10 + 10 + 3x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 5 + 10 3x = 5 + 10 Combine like terms: 5 + 10 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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