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Simplifying 2x + -1x(x + 5) = x(1 + -1x) + -6 Reorder the terms: 2x + -1x(5 + x) = x(1 + -1x) + -6 2x + (5 * -1x + x * -1x) = x(1 + -1x) + -6 2x + (-5x + -1x2) = x(1 + -1x) + -6 Combine like terms: 2x + -5x = -3x -3x + -1x2 = x(1 + -1x) + -6 -3x + -1x2 = (1 * x + -1x * x) + -6 -3x + -1x2 = (1x + -1x2) + -6 Reorder the terms: -3x + -1x2 = -6 + 1x + -1x2 Add 'x2' to each side of the equation. -3x + -1x2 + x2 = -6 + 1x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3x + 0 = -6 + 1x + -1x2 + x2 -3x = -6 + 1x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3x = -6 + 1x + 0 -3x = -6 + 1x Solving -3x = -6 + 1x 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. -3x + -1x = -6 + 1x + -1x Combine like terms: -3x + -1x = -4x -4x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -4x = -6 + 0 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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