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Simplifying 4(x + 5y) + -3(x + 6y) + 6(3x + 8y) = 0 (x * 4 + 5y * 4) + -3(x + 6y) + 6(3x + 8y) = 0 (4x + 20y) + -3(x + 6y) + 6(3x + 8y) = 0 4x + 20y + (x * -3 + 6y * -3) + 6(3x + 8y) = 0 4x + 20y + (-3x + -18y) + 6(3x + 8y) = 0 4x + 20y + -3x + -18y + (3x * 6 + 8y * 6) = 0 4x + 20y + -3x + -18y + (18x + 48y) = 0 Reorder the terms: 4x + -3x + 18x + 20y + -18y + 48y = 0 Combine like terms: 4x + -3x = 1x 1x + 18x + 20y + -18y + 48y = 0 Combine like terms: 1x + 18x = 19x 19x + 20y + -18y + 48y = 0 Combine like terms: 20y + -18y = 2y 19x + 2y + 48y = 0 Combine like terms: 2y + 48y = 50y 19x + 50y = 0 Solving 19x + 50y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. 19x + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 19x + 0 = 0 + -50y 19x = 0 + -50y Remove the zero: 19x = -50y Divide each side by '19'. x = -2.631578947y Simplifying x = -2.631578947y
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