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Simplifying -2(4x + 2) = -2(x + 3) + 9 Reorder the terms: -2(2 + 4x) = -2(x + 3) + 9 (2 * -2 + 4x * -2) = -2(x + 3) + 9 (-4 + -8x) = -2(x + 3) + 9 Reorder the terms: -4 + -8x = -2(3 + x) + 9 -4 + -8x = (3 * -2 + x * -2) + 9 -4 + -8x = (-6 + -2x) + 9 Reorder the terms: -4 + -8x = -6 + 9 + -2x Combine like terms: -6 + 9 = 3 -4 + -8x = 3 + -2x Solving -4 + -8x = 3 + -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 = 3 + -2x + 2x Combine like terms: -8x + 2x = -6x -4 + -6x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -6x = 3 + 0 -4 + -6x = 3 Add '4' to each side of the equation. -4 + 4 + -6x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 3 + 4 -6x = 3 + 4 Combine like terms: 3 + 4 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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