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Simplifying 2x + (x + -2y) + -5(3x + -7y) = 0 Remove parenthesis around (x + -2y) 2x + x + -2y + -5(3x + -7y) = 0 2x + x + -2y + (3x * -5 + -7y * -5) = 0 2x + x + -2y + (-15x + 35y) = 0 Reorder the terms: 2x + x + -15x + -2y + 35y = 0 Combine like terms: 2x + x = 3x 3x + -15x + -2y + 35y = 0 Combine like terms: 3x + -15x = -12x -12x + -2y + 35y = 0 Combine like terms: -2y + 35y = 33y -12x + 33y = 0 Solving -12x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33y' to each side of the equation. -12x + 33y + -33y = 0 + -33y Combine like terms: 33y + -33y = 0 -12x + 0 = 0 + -33y -12x = 0 + -33y Remove the zero: -12x = -33y Divide each side by '-12'. x = 2.75y Simplifying x = 2.75y
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