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Simplifying -2(4x + 2) = -2(x + 3) + -16 Reorder the terms: -2(2 + 4x) = -2(x + 3) + -16 (2 * -2 + 4x * -2) = -2(x + 3) + -16 (-4 + -8x) = -2(x + 3) + -16 Reorder the terms: -4 + -8x = -2(3 + x) + -16 -4 + -8x = (3 * -2 + x * -2) + -16 -4 + -8x = (-6 + -2x) + -16 Reorder the terms: -4 + -8x = -6 + -16 + -2x Combine like terms: -6 + -16 = -22 -4 + -8x = -22 + -2x Solving -4 + -8x = -22 + -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. -4 + -8x + 2x = -22 + -2x + 2x Combine like terms: -8x + 2x = -6x -4 + -6x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -6x = -22 + 0 -4 + -6x = -22 Add '4' to each side of the equation. -4 + 4 + -6x = -22 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -22 + 4 -6x = -22 + 4 Combine like terms: -22 + 4 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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