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Simplifying -1(x + -8) = x + -38 Reorder the terms: -1(-8 + x) = x + -38 (-8 * -1 + x * -1) = x + -38 (8 + -1x) = x + -38 Reorder the terms: 8 + -1x = -38 + x Solving 8 + -1x = -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. 8 + -1x + -1x = -38 + x + -1x Combine like terms: -1x + -1x = -2x 8 + -2x = -38 + x + -1x Combine like terms: x + -1x = 0 8 + -2x = -38 + 0 8 + -2x = -38 Add '-8' to each side of the equation. 8 + -8 + -2x = -38 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -38 + -8 -2x = -38 + -8 Combine like terms: -38 + -8 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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