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Simplifying 6X + -1(5Y + 7Y) = 8X Combine like terms: 5Y + 7Y = 12Y 6X + -1(12Y) = 8X Remove parenthesis around (12Y) 6X + -1 * 12Y = 8X Multiply -1 * 12 6X + -12Y = 8X Solving 6X + -12Y = 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 6X + -8X + -12Y = 8X + -8X Combine like terms: 6X + -8X = -2X -2X + -12Y = 8X + -8X Combine like terms: 8X + -8X = 0 -2X + -12Y = 0 Add '12Y' to each side of the equation. -2X + -12Y + 12Y = 0 + 12Y Combine like terms: -12Y + 12Y = 0 -2X + 0 = 0 + 12Y -2X = 0 + 12Y Remove the zero: -2X = 12Y Divide each side by '-2'. X = -6Y Simplifying X = -6Y
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