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Simplifying (x + 5)(x + -2) + x = x(x + 6) Reorder the terms: (5 + x)(x + -2) + x = x(x + 6) Reorder the terms: (5 + x)(-2 + x) + x = x(x + 6) Multiply (5 + x) * (-2 + x) (5(-2 + x) + x(-2 + x)) + x = x(x + 6) ((-2 * 5 + x * 5) + x(-2 + x)) + x = x(x + 6) ((-10 + 5x) + x(-2 + x)) + x = x(x + 6) (-10 + 5x + (-2 * x + x * x)) + x = x(x + 6) (-10 + 5x + (-2x + x2)) + x = x(x + 6) Combine like terms: 5x + -2x = 3x (-10 + 3x + x2) + x = x(x + 6) Reorder the terms: -10 + 3x + x + x2 = x(x + 6) Combine like terms: 3x + x = 4x -10 + 4x + x2 = x(x + 6) Reorder the terms: -10 + 4x + x2 = x(6 + x) -10 + 4x + x2 = (6 * x + x * x) -10 + 4x + x2 = (6x + x2) Add '-1x2' to each side of the equation. -10 + 4x + x2 + -1x2 = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 4x + 0 = 6x + x2 + -1x2 -10 + 4x = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 4x = 6x + 0 -10 + 4x = 6x Solving -10 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = 0 Add '10' to each side of the equation. -10 + 10 + -2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 0 + 10 -2x = 0 + 10 Combine like terms: 0 + 10 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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