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Simplifying 7x + -1(5x + -4y) + -6x + 8y + -5x = 0 7x + (5x * -1 + -4y * -1) + -6x + 8y + -5x = 0 7x + (-5x + 4y) + -6x + 8y + -5x = 0 Reorder the terms: 7x + -5x + -6x + -5x + 4y + 8y = 0 Combine like terms: 7x + -5x = 2x 2x + -6x + -5x + 4y + 8y = 0 Combine like terms: 2x + -6x = -4x -4x + -5x + 4y + 8y = 0 Combine like terms: -4x + -5x = -9x -9x + 4y + 8y = 0 Combine like terms: 4y + 8y = 12y -9x + 12y = 0 Solving -9x + 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. -9x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -9x + 0 = 0 + -12y -9x = 0 + -12y Remove the zero: -9x = -12y Divide each side by '-9'. x = 1.333333333y Simplifying x = 1.333333333y
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