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Simplifying (5x + 12y) + -1(-3x + -4y) = 0 Remove parenthesis around (5x + 12y) 5x + 12y + -1(-3x + -4y) = 0 5x + 12y + (-3x * -1 + -4y * -1) = 0 5x + 12y + (3x + 4y) = 0 Reorder the terms: 5x + 3x + 12y + 4y = 0 Combine like terms: 5x + 3x = 8x 8x + 12y + 4y = 0 Combine like terms: 12y + 4y = 16y 8x + 16y = 0 Solving 8x + 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. 8x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 8x + 0 = 0 + -16y 8x = 0 + -16y Remove the zero: 8x = -16y Divide each side by '8'. x = -2y Simplifying x = -2y
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