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Simplifying 10 + 7x = 6 + -5x Solving 10 + 7x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + 7x + 5x = 6 + -5x + 5x Combine like terms: 7x + 5x = 12x 10 + 12x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 12x = 6 + 0 10 + 12x = 6 Add '-10' to each side of the equation. 10 + -10 + 12x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 6 + -10 12x = 6 + -10 Combine like terms: 6 + -10 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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