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Simplifying (2x + 5y) + -1(-4x + -12y) + -1(8x + 8y) = 0 Remove parenthesis around (2x + 5y) 2x + 5y + -1(-4x + -12y) + -1(8x + 8y) = 0 2x + 5y + (-4x * -1 + -12y * -1) + -1(8x + 8y) = 0 2x + 5y + (4x + 12y) + -1(8x + 8y) = 0 2x + 5y + 4x + 12y + (8x * -1 + 8y * -1) = 0 2x + 5y + 4x + 12y + (-8x + -8y) = 0 Reorder the terms: 2x + 4x + -8x + 5y + 12y + -8y = 0 Combine like terms: 2x + 4x = 6x 6x + -8x + 5y + 12y + -8y = 0 Combine like terms: 6x + -8x = -2x -2x + 5y + 12y + -8y = 0 Combine like terms: 5y + 12y = 17y -2x + 17y + -8y = 0 Combine like terms: 17y + -8y = 9y -2x + 9y = 0 Solving -2x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -2x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 -2x + 0 = 0 + -9y -2x = 0 + -9y Remove the zero: -2x = -9y Divide each side by '-2'. x = 4.5y Simplifying x = 4.5y
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