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Simplifying 2X + 6 + -4(X + 1) = 6X + 5 Reorder the terms: 2X + 6 + -4(1 + X) = 6X + 5 2X + 6 + (1 * -4 + X * -4) = 6X + 5 2X + 6 + (-4 + -4X) = 6X + 5 Reorder the terms: 6 + -4 + 2X + -4X = 6X + 5 Combine like terms: 6 + -4 = 2 2 + 2X + -4X = 6X + 5 Combine like terms: 2X + -4X = -2X 2 + -2X = 6X + 5 Reorder the terms: 2 + -2X = 5 + 6X Solving 2 + -2X = 5 + 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. 2 + -2X + -6X = 5 + 6X + -6X Combine like terms: -2X + -6X = -8X 2 + -8X = 5 + 6X + -6X Combine like terms: 6X + -6X = 0 2 + -8X = 5 + 0 2 + -8X = 5 Add '-2' to each side of the equation. 2 + -2 + -8X = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -8X = 5 + -2 -8X = 5 + -2 Combine like terms: 5 + -2 = 3 -8X = 3 Divide each side by '-8'. X = -0.375 Simplifying X = -0.375
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