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Simplifying -6(x + 2) = -2(2x + 4) Reorder the terms: -6(2 + x) = -2(2x + 4) (2 * -6 + x * -6) = -2(2x + 4) (-12 + -6x) = -2(2x + 4) Reorder the terms: -12 + -6x = -2(4 + 2x) -12 + -6x = (4 * -2 + 2x * -2) -12 + -6x = (-8 + -4x) Solving -12 + -6x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + -6x + 4x = -8 + -4x + 4x Combine like terms: -6x + 4x = -2x -12 + -2x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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