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Simplifying -8(x + 5) + 7 = 31 Reorder the terms: -8(5 + x) + 7 = 31 (5 * -8 + x * -8) + 7 = 31 (-40 + -8x) + 7 = 31 Reorder the terms: -40 + 7 + -8x = 31 Combine like terms: -40 + 7 = -33 -33 + -8x = 31 Solving -33 + -8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -8x = 31 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = 31 + 33 -8x = 31 + 33 Combine like terms: 31 + 33 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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