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