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Simplifying -4(3x + 7) = 2(X + -9) + 6x Reorder the terms: -4(7 + 3x) = 2(X + -9) + 6x (7 * -4 + 3x * -4) = 2(X + -9) + 6x (-28 + -12x) = 2(X + -9) + 6x Reorder the terms: -28 + -12x = 2(-9 + X) + 6x -28 + -12x = (-9 * 2 + X * 2) + 6x -28 + -12x = (-18 + 2X) + 6x Solving -28 + -12x = -18 + 2X + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + -12x + -6x = -18 + 2X + 6x + -6x Combine like terms: -12x + -6x = -18x -28 + -18x = -18 + 2X + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -18x = -18 + 2X + 0 -28 + -18x = -18 + 2X Add '28' to each side of the equation. -28 + 28 + -18x = -18 + 28 + 2X Combine like terms: -28 + 28 = 0 0 + -18x = -18 + 28 + 2X -18x = -18 + 28 + 2X Combine like terms: -18 + 28 = 10 -18x = 10 + 2X Divide each side by '-18'. x = -0.5555555556 + -0.1111111111X Simplifying x = -0.5555555556 + -0.1111111111X
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