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Simplifying 8 + 5(x + -8) = 10 + -5(x + -5) Reorder the terms: 8 + 5(-8 + x) = 10 + -5(x + -5) 8 + (-8 * 5 + x * 5) = 10 + -5(x + -5) 8 + (-40 + 5x) = 10 + -5(x + -5) Combine like terms: 8 + -40 = -32 -32 + 5x = 10 + -5(x + -5) Reorder the terms: -32 + 5x = 10 + -5(-5 + x) -32 + 5x = 10 + (-5 * -5 + x * -5) -32 + 5x = 10 + (25 + -5x) Combine like terms: 10 + 25 = 35 -32 + 5x = 35 + -5x Solving -32 + 5x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + 5x + 5x = 35 + -5x + 5x Combine like terms: 5x + 5x = 10x -32 + 10x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 10x = 35 + 0 -32 + 10x = 35 Add '32' to each side of the equation. -32 + 32 + 10x = 35 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 35 + 32 10x = 35 + 32 Combine like terms: 35 + 32 = 67 10x = 67 Divide each side by '10'. x = 6.7 Simplifying x = 6.7
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