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Simplifying 6x + 12 + 5x + 10 = 4x + 8 Reorder the terms: 12 + 10 + 6x + 5x = 4x + 8 Combine like terms: 12 + 10 = 22 22 + 6x + 5x = 4x + 8 Combine like terms: 6x + 5x = 11x 22 + 11x = 4x + 8 Reorder the terms: 22 + 11x = 8 + 4x Solving 22 + 11x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 11x + -4x = 8 + 4x + -4x Combine like terms: 11x + -4x = 7x 22 + 7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 7x = 8 + 0 22 + 7x = 8 Add '-22' to each side of the equation. 22 + -22 + 7x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 8 + -22 7x = 8 + -22 Combine like terms: 8 + -22 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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