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Simplifying 3(x + y) + -2(x + -8y) = 0 (x * 3 + y * 3) + -2(x + -8y) = 0 (3x + 3y) + -2(x + -8y) = 0 3x + 3y + (x * -2 + -8y * -2) = 0 3x + 3y + (-2x + 16y) = 0 Reorder the terms: 3x + -2x + 3y + 16y = 0 Combine like terms: 3x + -2x = 1x 1x + 3y + 16y = 0 Combine like terms: 3y + 16y = 19y 1x + 19y = 0 Solving 1x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 1x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 1x + 0 = 0 + -19y 1x = 0 + -19y Remove the zero: 1x = -19y Divide each side by '1'. x = -19y Simplifying x = -19y
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