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Simplifying 5 + 5(x + -8) = 5 + -8(x + -4) Reorder the terms: 5 + 5(-8 + x) = 5 + -8(x + -4) 5 + (-8 * 5 + x * 5) = 5 + -8(x + -4) 5 + (-40 + 5x) = 5 + -8(x + -4) Combine like terms: 5 + -40 = -35 -35 + 5x = 5 + -8(x + -4) Reorder the terms: -35 + 5x = 5 + -8(-4 + x) -35 + 5x = 5 + (-4 * -8 + x * -8) -35 + 5x = 5 + (32 + -8x) Combine like terms: 5 + 32 = 37 -35 + 5x = 37 + -8x Solving -35 + 5x = 37 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -35 + 5x + 8x = 37 + -8x + 8x Combine like terms: 5x + 8x = 13x -35 + 13x = 37 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + 13x = 37 + 0 -35 + 13x = 37 Add '35' to each side of the equation. -35 + 35 + 13x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 13x = 37 + 35 13x = 37 + 35 Combine like terms: 37 + 35 = 72 13x = 72 Divide each side by '13'. x = 5.538461538 Simplifying x = 5.538461538
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