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Simplifying x(x + -0.5) + -6.5x = x2 Reorder the terms: x(-0.5 + x) + -6.5x = x2 (-0.5 * x + x * x) + -6.5x = x2 (-0.5x + x2) + -6.5x = x2 Reorder the terms: -0.5x + -6.5x + x2 = x2 Combine like terms: -0.5x + -6.5x = -7x -7x + x2 = x2 Add '-1x2' to each side of the equation. -7x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 0 = x2 + -1x2 -7x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x = 0 Solving -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = 0 Simplifying x = 0
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