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Simplifying -2(4X + -3) + 6X = 4(X + 5) Reorder the terms: -2(-3 + 4X) + 6X = 4(X + 5) (-3 * -2 + 4X * -2) + 6X = 4(X + 5) (6 + -8X) + 6X = 4(X + 5) Combine like terms: -8X + 6X = -2X 6 + -2X = 4(X + 5) Reorder the terms: 6 + -2X = 4(5 + X) 6 + -2X = (5 * 4 + X * 4) 6 + -2X = (20 + 4X) Solving 6 + -2X = 20 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 6 + -2X + -4X = 20 + 4X + -4X Combine like terms: -2X + -4X = -6X 6 + -6X = 20 + 4X + -4X Combine like terms: 4X + -4X = 0 6 + -6X = 20 + 0 6 + -6X = 20 Add '-6' to each side of the equation. 6 + -6 + -6X = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -6X = 20 + -6 -6X = 20 + -6 Combine like terms: 20 + -6 = 14 -6X = 14 Divide each side by '-6'. X = -2.333333333 Simplifying X = -2.333333333
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