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Simplifying 7(7x + 6y + -9) + 4(8x + -4) = 0 Reorder the terms: 7(-9 + 7x + 6y) + 4(8x + -4) = 0 (-9 * 7 + 7x * 7 + 6y * 7) + 4(8x + -4) = 0 (-63 + 49x + 42y) + 4(8x + -4) = 0 Reorder the terms: -63 + 49x + 42y + 4(-4 + 8x) = 0 -63 + 49x + 42y + (-4 * 4 + 8x * 4) = 0 -63 + 49x + 42y + (-16 + 32x) = 0 Reorder the terms: -63 + -16 + 49x + 32x + 42y = 0 Combine like terms: -63 + -16 = -79 -79 + 49x + 32x + 42y = 0 Combine like terms: 49x + 32x = 81x -79 + 81x + 42y = 0 Solving -79 + 81x + 42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 81x + 79 + 42y = 0 + 79 Reorder the terms: -79 + 79 + 81x + 42y = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 81x + 42y = 0 + 79 81x + 42y = 0 + 79 Combine like terms: 0 + 79 = 79 81x + 42y = 79 Add '-42y' to each side of the equation. 81x + 42y + -42y = 79 + -42y Combine like terms: 42y + -42y = 0 81x + 0 = 79 + -42y 81x = 79 + -42y Divide each side by '81'. x = 0.975308642 + -0.5185185185y Simplifying x = 0.975308642 + -0.5185185185y
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