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Simplifying 6(X + -3) + -1(2X + 4) + -6(2X + 6) = 0 Reorder the terms: 6(-3 + X) + -1(2X + 4) + -6(2X + 6) = 0 (-3 * 6 + X * 6) + -1(2X + 4) + -6(2X + 6) = 0 (-18 + 6X) + -1(2X + 4) + -6(2X + 6) = 0 Reorder the terms: -18 + 6X + -1(4 + 2X) + -6(2X + 6) = 0 -18 + 6X + (4 * -1 + 2X * -1) + -6(2X + 6) = 0 -18 + 6X + (-4 + -2X) + -6(2X + 6) = 0 Reorder the terms: -18 + 6X + -4 + -2X + -6(6 + 2X) = 0 -18 + 6X + -4 + -2X + (6 * -6 + 2X * -6) = 0 -18 + 6X + -4 + -2X + (-36 + -12X) = 0 Reorder the terms: -18 + -4 + -36 + 6X + -2X + -12X = 0 Combine like terms: -18 + -4 = -22 -22 + -36 + 6X + -2X + -12X = 0 Combine like terms: -22 + -36 = -58 -58 + 6X + -2X + -12X = 0 Combine like terms: 6X + -2X = 4X -58 + 4X + -12X = 0 Combine like terms: 4X + -12X = -8X -58 + -8X = 0 Solving -58 + -8X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -8X = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -8X = 0 + 58 -8X = 0 + 58 Combine like terms: 0 + 58 = 58 -8X = 58 Divide each side by '-8'. X = -7.25 Simplifying X = -7.25
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