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Simplifying -1(6 + 4x) = -2(x + 9) (6 * -1 + 4x * -1) = -2(x + 9) (-6 + -4x) = -2(x + 9) Reorder the terms: -6 + -4x = -2(9 + x) -6 + -4x = (9 * -2 + x * -2) -6 + -4x = (-18 + -2x) Solving -6 + -4x = -18 + -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. -6 + -4x + 2x = -18 + -2x + 2x Combine like terms: -4x + 2x = -2x -6 + -2x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -2x = -18 + 0 -6 + -2x = -18 Add '6' to each side of the equation. -6 + 6 + -2x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -18 + 6 -2x = -18 + 6 Combine like terms: -18 + 6 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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