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Simplifying (6x + 13y) + -1(-12x + -3y) = 0 Remove parenthesis around (6x + 13y) 6x + 13y + -1(-12x + -3y) = 0 6x + 13y + (-12x * -1 + -3y * -1) = 0 6x + 13y + (12x + 3y) = 0 Reorder the terms: 6x + 12x + 13y + 3y = 0 Combine like terms: 6x + 12x = 18x 18x + 13y + 3y = 0 Combine like terms: 13y + 3y = 16y 18x + 16y = 0 Solving 18x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 18x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 18x + 0 = 0 + -16y 18x = 0 + -16y Remove the zero: 18x = -16y Divide each side by '18'. x = -0.8888888889y Simplifying x = -0.8888888889y
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