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Simplifying 6x + 22 = -8x + 2(1 + 2x) Reorder the terms: 22 + 6x = -8x + 2(1 + 2x) 22 + 6x = -8x + (1 * 2 + 2x * 2) 22 + 6x = -8x + (2 + 4x) Reorder the terms: 22 + 6x = 2 + -8x + 4x Combine like terms: -8x + 4x = -4x 22 + 6x = 2 + -4x Solving 22 + 6x = 2 + -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 + 6x + 4x = 2 + -4x + 4x Combine like terms: 6x + 4x = 10x 22 + 10x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + 10x = 2 + 0 22 + 10x = 2 Add '-22' to each side of the equation. 22 + -22 + 10x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 2 + -22 10x = 2 + -22 Combine like terms: 2 + -22 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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