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Simplifying 8(x + -5) + -1(1 + -5x) = 24 Reorder the terms: 8(-5 + x) + -1(1 + -5x) = 24 (-5 * 8 + x * 8) + -1(1 + -5x) = 24 (-40 + 8x) + -1(1 + -5x) = 24 -40 + 8x + (1 * -1 + -5x * -1) = 24 -40 + 8x + (-1 + 5x) = 24 Reorder the terms: -40 + -1 + 8x + 5x = 24 Combine like terms: -40 + -1 = -41 -41 + 8x + 5x = 24 Combine like terms: 8x + 5x = 13x -41 + 13x = 24 Solving -41 + 13x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 13x = 24 + 41 Combine like terms: -41 + 41 = 0 0 + 13x = 24 + 41 13x = 24 + 41 Combine like terms: 24 + 41 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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