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Simplifying 4(4x + -3y) + -7(5x + 4y) = 0 (4x * 4 + -3y * 4) + -7(5x + 4y) = 0 (16x + -12y) + -7(5x + 4y) = 0 16x + -12y + (5x * -7 + 4y * -7) = 0 16x + -12y + (-35x + -28y) = 0 Reorder the terms: 16x + -35x + -12y + -28y = 0 Combine like terms: 16x + -35x = -19x -19x + -12y + -28y = 0 Combine like terms: -12y + -28y = -40y -19x + -40y = 0 Solving -19x + -40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40y' to each side of the equation. -19x + -40y + 40y = 0 + 40y Combine like terms: -40y + 40y = 0 -19x + 0 = 0 + 40y -19x = 0 + 40y Remove the zero: -19x = 40y Divide each side by '-19'. x = -2.105263158y Simplifying x = -2.105263158y
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