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Simplifying (x + 6)(x + -1) + -1(x + 3)(x + -4) = 5x Reorder the terms: (6 + x)(x + -1) + -1(x + 3)(x + -4) = 5x Reorder the terms: (6 + x)(-1 + x) + -1(x + 3)(x + -4) = 5x Multiply (6 + x) * (-1 + x) (6(-1 + x) + x(-1 + x)) + -1(x + 3)(x + -4) = 5x ((-1 * 6 + x * 6) + x(-1 + x)) + -1(x + 3)(x + -4) = 5x ((-6 + 6x) + x(-1 + x)) + -1(x + 3)(x + -4) = 5x (-6 + 6x + (-1 * x + x * x)) + -1(x + 3)(x + -4) = 5x (-6 + 6x + (-1x + x2)) + -1(x + 3)(x + -4) = 5x Combine like terms: 6x + -1x = 5x (-6 + 5x + x2) + -1(x + 3)(x + -4) = 5x Reorder the terms: -6 + 5x + x2 + -1(3 + x)(x + -4) = 5x Reorder the terms: -6 + 5x + x2 + -1(3 + x)(-4 + x) = 5x Multiply (3 + x) * (-4 + x) -6 + 5x + x2 + -1(3(-4 + x) + x(-4 + x)) = 5x -6 + 5x + x2 + -1((-4 * 3 + x * 3) + x(-4 + x)) = 5x -6 + 5x + x2 + -1((-12 + 3x) + x(-4 + x)) = 5x -6 + 5x + x2 + -1(-12 + 3x + (-4 * x + x * x)) = 5x -6 + 5x + x2 + -1(-12 + 3x + (-4x + x2)) = 5x Combine like terms: 3x + -4x = -1x -6 + 5x + x2 + -1(-12 + -1x + x2) = 5x -6 + 5x + x2 + (-12 * -1 + -1x * -1 + x2 * -1) = 5x -6 + 5x + x2 + (12 + 1x + -1x2) = 5x Reorder the terms: -6 + 12 + 5x + 1x + x2 + -1x2 = 5x Combine like terms: -6 + 12 = 6 6 + 5x + 1x + x2 + -1x2 = 5x Combine like terms: 5x + 1x = 6x 6 + 6x + x2 + -1x2 = 5x Combine like terms: x2 + -1x2 = 0 6 + 6x + 0 = 5x 6 + 6x = 5x Solving 6 + 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 0 Add '-6' to each side of the equation. 6 + -6 + 1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 0 + -6 1x = 0 + -6 Combine like terms: 0 + -6 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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