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Simplifying -8(x + 5) + 458 = 31 + 27 Reorder the terms: -8(5 + x) + 458 = 31 + 27 (5 * -8 + x * -8) + 458 = 31 + 27 (-40 + -8x) + 458 = 31 + 27 Reorder the terms: -40 + 458 + -8x = 31 + 27 Combine like terms: -40 + 458 = 418 418 + -8x = 31 + 27 Combine like terms: 31 + 27 = 58 418 + -8x = 58 Solving 418 + -8x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-418' to each side of the equation. 418 + -418 + -8x = 58 + -418 Combine like terms: 418 + -418 = 0 0 + -8x = 58 + -418 -8x = 58 + -418 Combine like terms: 58 + -418 = -360 -8x = -360 Divide each side by '-8'. x = 45 Simplifying x = 45
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