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Simplifying 8(x + -5) + 5 = 8x + -5(5 + -1x) Reorder the terms: 8(-5 + x) + 5 = 8x + -5(5 + -1x) (-5 * 8 + x * 8) + 5 = 8x + -5(5 + -1x) (-40 + 8x) + 5 = 8x + -5(5 + -1x) Reorder the terms: -40 + 5 + 8x = 8x + -5(5 + -1x) Combine like terms: -40 + 5 = -35 -35 + 8x = 8x + -5(5 + -1x) -35 + 8x = 8x + (5 * -5 + -1x * -5) -35 + 8x = 8x + (-25 + 5x) Reorder the terms: -35 + 8x = -25 + 8x + 5x Combine like terms: 8x + 5x = 13x -35 + 8x = -25 + 13x Solving -35 + 8x = -25 + 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. -35 + 8x + -13x = -25 + 13x + -13x Combine like terms: 8x + -13x = -5x -35 + -5x = -25 + 13x + -13x Combine like terms: 13x + -13x = 0 -35 + -5x = -25 + 0 -35 + -5x = -25 Add '35' to each side of the equation. -35 + 35 + -5x = -25 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = -25 + 35 -5x = -25 + 35 Combine like terms: -25 + 35 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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