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Simplifying (3x + -4y) + -1(2x + 5y) + (6x + -7y) = 0 Remove parenthesis around (3x + -4y) 3x + -4y + -1(2x + 5y) + (6x + -7y) = 0 3x + -4y + (2x * -1 + 5y * -1) + (6x + -7y) = 0 3x + -4y + (-2x + -5y) + (6x + -7y) = 0 Remove parenthesis around (6x + -7y) 3x + -4y + -2x + -5y + 6x + -7y = 0 Reorder the terms: 3x + -2x + 6x + -4y + -5y + -7y = 0 Combine like terms: 3x + -2x = 1x 1x + 6x + -4y + -5y + -7y = 0 Combine like terms: 1x + 6x = 7x 7x + -4y + -5y + -7y = 0 Combine like terms: -4y + -5y = -9y 7x + -9y + -7y = 0 Combine like terms: -9y + -7y = -16y 7x + -16y = 0 Solving 7x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. 7x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 7x + 0 = 0 + 16y 7x = 0 + 16y Remove the zero: 7x = 16y Divide each side by '7'. x = 2.285714286y Simplifying x = 2.285714286y
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