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Simplifying 3x + 7x + 6 = 2x + 5 + 5x Reorder the terms: 6 + 3x + 7x = 2x + 5 + 5x Combine like terms: 3x + 7x = 10x 6 + 10x = 2x + 5 + 5x Reorder the terms: 6 + 10x = 5 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 + 10x = 5 + 7x Solving 6 + 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. 6 + 10x + -7x = 5 + 7x + -7x Combine like terms: 10x + -7x = 3x 6 + 3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 3x = 5 + 0 6 + 3x = 5 Add '-6' to each side of the equation. 6 + -6 + 3x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 5 + -6 3x = 5 + -6 Combine like terms: 5 + -6 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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