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Simplifying 7x + 4 + 5x + -6 = 8 + 10x + -6 Reorder the terms: 4 + -6 + 7x + 5x = 8 + 10x + -6 Combine like terms: 4 + -6 = -2 -2 + 7x + 5x = 8 + 10x + -6 Combine like terms: 7x + 5x = 12x -2 + 12x = 8 + 10x + -6 Reorder the terms: -2 + 12x = 8 + -6 + 10x Combine like terms: 8 + -6 = 2 -2 + 12x = 2 + 10x Solving -2 + 12x = 2 + 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. -2 + 12x + -10x = 2 + 10x + -10x Combine like terms: 12x + -10x = 2x -2 + 2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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