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Simplifying 2(2x + 7) + -4(3X + 8) = 109 Reorder the terms: 2(7 + 2x) + -4(3X + 8) = 109 (7 * 2 + 2x * 2) + -4(3X + 8) = 109 (14 + 4x) + -4(3X + 8) = 109 Reorder the terms: 14 + 4x + -4(8 + 3X) = 109 14 + 4x + (8 * -4 + 3X * -4) = 109 14 + 4x + (-32 + -12X) = 109 Reorder the terms: 14 + -32 + -12X + 4x = 109 Combine like terms: 14 + -32 = -18 -18 + -12X + 4x = 109 Solving -18 + -12X + 4x = 109 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -12X + 18 + 4x = 109 + 18 Reorder the terms: -18 + 18 + -12X + 4x = 109 + 18 Combine like terms: -18 + 18 = 0 0 + -12X + 4x = 109 + 18 -12X + 4x = 109 + 18 Combine like terms: 109 + 18 = 127 -12X + 4x = 127 Add '-4x' to each side of the equation. -12X + 4x + -4x = 127 + -4x Combine like terms: 4x + -4x = 0 -12X + 0 = 127 + -4x -12X = 127 + -4x Divide each side by '-12'. X = -10.58333333 + 0.3333333333x Simplifying X = -10.58333333 + 0.3333333333x
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