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Simplifying 6X + -1(-5Y + 7Y) = 8X Combine like terms: -5Y + 7Y = 2Y 6X + -1(2Y) = 8X Remove parenthesis around (2Y) 6X + -1 * 2Y = 8X Multiply -1 * 2 6X + -2Y = 8X Solving 6X + -2Y = 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 + -2Y = 8X + -8X Combine like terms: 6X + -8X = -2X -2X + -2Y = 8X + -8X Combine like terms: 8X + -8X = 0 -2X + -2Y = 0 Add '2Y' to each side of the equation. -2X + -2Y + 2Y = 0 + 2Y Combine like terms: -2Y + 2Y = 0 -2X + 0 = 0 + 2Y -2X = 0 + 2Y Remove the zero: -2X = 2Y Divide each side by '-2'. X = -1Y Simplifying X = -1Y
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