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Simplifying 6(4x + 7y) + 7(2x + -6) = 0 (4x * 6 + 7y * 6) + 7(2x + -6) = 0 (24x + 42y) + 7(2x + -6) = 0 Reorder the terms: 24x + 42y + 7(-6 + 2x) = 0 24x + 42y + (-6 * 7 + 2x * 7) = 0 24x + 42y + (-42 + 14x) = 0 Reorder the terms: -42 + 24x + 14x + 42y = 0 Combine like terms: 24x + 14x = 38x -42 + 38x + 42y = 0 Solving -42 + 38x + 42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 38x + 42 + 42y = 0 + 42 Reorder the terms: -42 + 42 + 38x + 42y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 38x + 42y = 0 + 42 38x + 42y = 0 + 42 Combine like terms: 0 + 42 = 42 38x + 42y = 42 Add '-42y' to each side of the equation. 38x + 42y + -42y = 42 + -42y Combine like terms: 42y + -42y = 0 38x + 0 = 42 + -42y 38x = 42 + -42y Divide each side by '38'. x = 1.105263158 + -1.105263158y Simplifying x = 1.105263158 + -1.105263158y
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