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Simplifying -1x + -2(1 + -5x) = x + 38 -1x + (1 * -2 + -5x * -2) = x + 38 -1x + (-2 + 10x) = x + 38 Reorder the terms: -2 + -1x + 10x = x + 38 Combine like terms: -1x + 10x = 9x -2 + 9x = x + 38 Reorder the terms: -2 + 9x = 38 + x Solving -2 + 9x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 9x + -1x = 38 + x + -1x Combine like terms: 9x + -1x = 8x -2 + 8x = 38 + x + -1x Combine like terms: x + -1x = 0 -2 + 8x = 38 + 0 -2 + 8x = 38 Add '2' to each side of the equation. -2 + 2 + 8x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 38 + 2 8x = 38 + 2 Combine like terms: 38 + 2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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