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Simplifying -1(6x + 22) + -8(3 + -1x) = 0 Reorder the terms: -1(22 + 6x) + -8(3 + -1x) = 0 (22 * -1 + 6x * -1) + -8(3 + -1x) = 0 (-22 + -6x) + -8(3 + -1x) = 0 -22 + -6x + (3 * -8 + -1x * -8) = 0 -22 + -6x + (-24 + 8x) = 0 Reorder the terms: -22 + -24 + -6x + 8x = 0 Combine like terms: -22 + -24 = -46 -46 + -6x + 8x = 0 Combine like terms: -6x + 8x = 2x -46 + 2x = 0 Solving -46 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 2x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 2x = 0 + 46 2x = 0 + 46 Combine like terms: 0 + 46 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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