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Simplifying -6 + 6(x + 8) = 22 + -4x Reorder the terms: -6 + 6(8 + x) = 22 + -4x -6 + (8 * 6 + x * 6) = 22 + -4x -6 + (48 + 6x) = 22 + -4x Combine like terms: -6 + 48 = 42 42 + 6x = 22 + -4x Solving 42 + 6x = 22 + -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. 42 + 6x + 4x = 22 + -4x + 4x Combine like terms: 6x + 4x = 10x 42 + 10x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 10x = 22 + 0 42 + 10x = 22 Add '-42' to each side of the equation. 42 + -42 + 10x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 22 + -42 10x = 22 + -42 Combine like terms: 22 + -42 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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