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Simplifying (2x + 2)(-1x + -2) = (x + 3)(-2x + -1) Reorder the terms: (2 + 2x)(-1x + -2) = (x + 3)(-2x + -1) Reorder the terms: (2 + 2x)(-2 + -1x) = (x + 3)(-2x + -1) Multiply (2 + 2x) * (-2 + -1x) (2(-2 + -1x) + 2x * (-2 + -1x)) = (x + 3)(-2x + -1) ((-2 * 2 + -1x * 2) + 2x * (-2 + -1x)) = (x + 3)(-2x + -1) ((-4 + -2x) + 2x * (-2 + -1x)) = (x + 3)(-2x + -1) (-4 + -2x + (-2 * 2x + -1x * 2x)) = (x + 3)(-2x + -1) (-4 + -2x + (-4x + -2x2)) = (x + 3)(-2x + -1) Combine like terms: -2x + -4x = -6x (-4 + -6x + -2x2) = (x + 3)(-2x + -1) Reorder the terms: -4 + -6x + -2x2 = (3 + x)(-2x + -1) Reorder the terms: -4 + -6x + -2x2 = (3 + x)(-1 + -2x) Multiply (3 + x) * (-1 + -2x) -4 + -6x + -2x2 = (3(-1 + -2x) + x(-1 + -2x)) -4 + -6x + -2x2 = ((-1 * 3 + -2x * 3) + x(-1 + -2x)) -4 + -6x + -2x2 = ((-3 + -6x) + x(-1 + -2x)) -4 + -6x + -2x2 = (-3 + -6x + (-1 * x + -2x * x)) -4 + -6x + -2x2 = (-3 + -6x + (-1x + -2x2)) Combine like terms: -6x + -1x = -7x -4 + -6x + -2x2 = (-3 + -7x + -2x2) Add '2x2' to each side of the equation. -4 + -6x + -2x2 + 2x2 = -3 + -7x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -4 + -6x + 0 = -3 + -7x + -2x2 + 2x2 -4 + -6x = -3 + -7x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -4 + -6x = -3 + -7x + 0 -4 + -6x = -3 + -7x Solving -4 + -6x = -3 + -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. -4 + -6x + 7x = -3 + -7x + 7x Combine like terms: -6x + 7x = 1x -4 + 1x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 1x = -3 + 0 -4 + 1x = -3 Add '4' to each side of the equation. -4 + 4 + 1x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -3 + 4 1x = -3 + 4 Combine like terms: -3 + 4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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