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Simplifying 6.5(x + -5) = x + 5 Reorder the terms: 6.5(-5 + x) = x + 5 (-5 * 6.5 + x * 6.5) = x + 5 (-32.5 + 6.5x) = x + 5 Reorder the terms: -32.5 + 6.5x = 5 + x Solving -32.5 + 6.5x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32.5 + 6.5x + -1x = 5 + x + -1x Combine like terms: 6.5x + -1x = 5.5x -32.5 + 5.5x = 5 + x + -1x Combine like terms: x + -1x = 0 -32.5 + 5.5x = 5 + 0 -32.5 + 5.5x = 5 Add '32.5' to each side of the equation. -32.5 + 32.5 + 5.5x = 5 + 32.5 Combine like terms: -32.5 + 32.5 = 0.0 0.0 + 5.5x = 5 + 32.5 5.5x = 5 + 32.5 Combine like terms: 5 + 32.5 = 37.5 5.5x = 37.5 Divide each side by '5.5'. x = 6.818181818 Simplifying x = 6.818181818
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