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Simplifying (x + 2)(x + -1) = x(x + 7) Reorder the terms: (2 + x)(x + -1) = x(x + 7) Reorder the terms: (2 + x)(-1 + x) = x(x + 7) Multiply (2 + x) * (-1 + x) (2(-1 + x) + x(-1 + x)) = x(x + 7) ((-1 * 2 + x * 2) + x(-1 + x)) = x(x + 7) ((-2 + 2x) + x(-1 + x)) = x(x + 7) (-2 + 2x + (-1 * x + x * x)) = x(x + 7) (-2 + 2x + (-1x + x2)) = x(x + 7) Combine like terms: 2x + -1x = 1x (-2 + 1x + x2) = x(x + 7) Reorder the terms: -2 + 1x + x2 = x(7 + x) -2 + 1x + x2 = (7 * x + x * x) -2 + 1x + x2 = (7x + x2) Add '-1x2' to each side of the equation. -2 + 1x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x + 0 = 7x + x2 + -1x2 -2 + 1x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x = 7x + 0 -2 + 1x = 7x Solving -2 + 1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 1x + -7x = 7x + -7x Combine like terms: 1x + -7x = -6x -2 + -6x = 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = 0 Add '2' to each side of the equation. -2 + 2 + -6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 0 + 2 -6x = 0 + 2 Combine like terms: 0 + 2 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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