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Simplifying 6X + -1(4X + 2) = 3X + -49 Reorder the terms: 6X + -1(2 + 4X) = 3X + -49 6X + (2 * -1 + 4X * -1) = 3X + -49 6X + (-2 + -4X) = 3X + -49 Reorder the terms: -2 + 6X + -4X = 3X + -49 Combine like terms: 6X + -4X = 2X -2 + 2X = 3X + -49 Reorder the terms: -2 + 2X = -49 + 3X Solving -2 + 2X = -49 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -2 + 2X + -3X = -49 + 3X + -3X Combine like terms: 2X + -3X = -1X -2 + -1X = -49 + 3X + -3X Combine like terms: 3X + -3X = 0 -2 + -1X = -49 + 0 -2 + -1X = -49 Add '2' to each side of the equation. -2 + 2 + -1X = -49 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = -49 + 2 -1X = -49 + 2 Combine like terms: -49 + 2 = -47 -1X = -47 Divide each side by '-1'. X = 47 Simplifying X = 47
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