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Simplifying (2x + 6)(x + -2) = 2x(x + -1) Reorder the terms: (6 + 2x)(x + -2) = 2x(x + -1) Reorder the terms: (6 + 2x)(-2 + x) = 2x(x + -1) Multiply (6 + 2x) * (-2 + x) (6(-2 + x) + 2x * (-2 + x)) = 2x(x + -1) ((-2 * 6 + x * 6) + 2x * (-2 + x)) = 2x(x + -1) ((-12 + 6x) + 2x * (-2 + x)) = 2x(x + -1) (-12 + 6x + (-2 * 2x + x * 2x)) = 2x(x + -1) (-12 + 6x + (-4x + 2x2)) = 2x(x + -1) Combine like terms: 6x + -4x = 2x (-12 + 2x + 2x2) = 2x(x + -1) Reorder the terms: -12 + 2x + 2x2 = 2x(-1 + x) -12 + 2x + 2x2 = (-1 * 2x + x * 2x) -12 + 2x + 2x2 = (-2x + 2x2) Add '-2x2' to each side of the equation. -12 + 2x + 2x2 + -2x2 = -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + 2x + 0 = -2x + 2x2 + -2x2 -12 + 2x = -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + 2x = -2x + 0 -12 + 2x = -2x Solving -12 + 2x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 2x + 2x = -2x + 2x Combine like terms: 2x + 2x = 4x -12 + 4x = -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 4x = 0 Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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