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Simplifying 12x + -4 + -5x = 10x + -6 + -4 Reorder the terms: -4 + 12x + -5x = 10x + -6 + -4 Combine like terms: 12x + -5x = 7x -4 + 7x = 10x + -6 + -4 Reorder the terms: -4 + 7x = -6 + -4 + 10x Combine like terms: -6 + -4 = -10 -4 + 7x = -10 + 10x Solving -4 + 7x = -10 + 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. -4 + 7x + -10x = -10 + 10x + -10x Combine like terms: 7x + -10x = -3x -4 + -3x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -3x = -10 + 0 -4 + -3x = -10 Add '4' to each side of the equation. -4 + 4 + -3x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -10 + 4 -3x = -10 + 4 Combine like terms: -10 + 4 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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