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Simplifying 6x + 6 + x = 2 + 2x + -6 Reorder the terms: 6 + 6x + x = 2 + 2x + -6 Combine like terms: 6x + x = 7x 6 + 7x = 2 + 2x + -6 Reorder the terms: 6 + 7x = 2 + -6 + 2x Combine like terms: 2 + -6 = -4 6 + 7x = -4 + 2x Solving 6 + 7x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 7x + -2x = -4 + 2x + -2x Combine like terms: 7x + -2x = 5x 6 + 5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 5x = -4 + 0 6 + 5x = -4 Add '-6' to each side of the equation. 6 + -6 + 5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -4 + -6 5x = -4 + -6 Combine like terms: -4 + -6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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