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Simplifying 4X + -5(2 + -1X) + 7(X + -4) = 6 + -6X 4X + (2 * -5 + -1X * -5) + 7(X + -4) = 6 + -6X 4X + (-10 + 5X) + 7(X + -4) = 6 + -6X Reorder the terms: 4X + -10 + 5X + 7(-4 + X) = 6 + -6X 4X + -10 + 5X + (-4 * 7 + X * 7) = 6 + -6X 4X + -10 + 5X + (-28 + 7X) = 6 + -6X Reorder the terms: -10 + -28 + 4X + 5X + 7X = 6 + -6X Combine like terms: -10 + -28 = -38 -38 + 4X + 5X + 7X = 6 + -6X Combine like terms: 4X + 5X = 9X -38 + 9X + 7X = 6 + -6X Combine like terms: 9X + 7X = 16X -38 + 16X = 6 + -6X Solving -38 + 16X = 6 + -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. -38 + 16X + 6X = 6 + -6X + 6X Combine like terms: 16X + 6X = 22X -38 + 22X = 6 + -6X + 6X Combine like terms: -6X + 6X = 0 -38 + 22X = 6 + 0 -38 + 22X = 6 Add '38' to each side of the equation. -38 + 38 + 22X = 6 + 38 Combine like terms: -38 + 38 = 0 0 + 22X = 6 + 38 22X = 6 + 38 Combine like terms: 6 + 38 = 44 22X = 44 Divide each side by '22'. X = 2 Simplifying X = 2
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