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Simplifying 7(2x + -3x) + 4(3y + -5x) = 0 Combine like terms: 2x + -3x = -1x 7(-1x) + 4(3y + -5x) = 0 Remove parenthesis around (-1x) 7 * -1x + 4(3y + -5x) = 0 Multiply 7 * -1 -7x + 4(3y + -5x) = 0 Reorder the terms: -7x + 4(-5x + 3y) = 0 -7x + (-5x * 4 + 3y * 4) = 0 -7x + (-20x + 12y) = 0 Combine like terms: -7x + -20x = -27x -27x + 12y = 0 Solving -27x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -27x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -27x + 0 = 0 + -12y -27x = 0 + -12y Remove the zero: -27x = -12y Divide each side by '-27'. x = 0.4444444444y Simplifying x = 0.4444444444y
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