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Simplifying -1x(2x + 1) = -2x2 + 7 Reorder the terms: -1x(1 + 2x) = -2x2 + 7 (1 * -1x + 2x * -1x) = -2x2 + 7 (-1x + -2x2) = -2x2 + 7 Reorder the terms: -1x + -2x2 = 7 + -2x2 Add '2x2' to each side of the equation. -1x + -2x2 + 2x2 = 7 + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1x + 0 = 7 + -2x2 + 2x2 -1x = 7 + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1x = 7 + 0 -1x = 7 Solving -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -7 Simplifying x = -7
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