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