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Simplifying 8(x + -5) + 15 = 71 Reorder the terms: 8(-5 + x) + 15 = 71 (-5 * 8 + x * 8) + 15 = 71 (-40 + 8x) + 15 = 71 Reorder the terms: -40 + 15 + 8x = 71 Combine like terms: -40 + 15 = -25 -25 + 8x = 71 Solving -25 + 8x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 8x = 71 + 25 Combine like terms: -25 + 25 = 0 0 + 8x = 71 + 25 8x = 71 + 25 Combine like terms: 71 + 25 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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