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Simplifying 0 = 3(5x + -13y) + -2(-3x + -4y) 0 = (5x * 3 + -13y * 3) + -2(-3x + -4y) 0 = (15x + -39y) + -2(-3x + -4y) 0 = 15x + -39y + (-3x * -2 + -4y * -2) 0 = 15x + -39y + (6x + 8y) Reorder the terms: 0 = 15x + 6x + -39y + 8y Combine like terms: 15x + 6x = 21x 0 = 21x + -39y + 8y Combine like terms: -39y + 8y = -31y 0 = 21x + -31y Solving 0 = 21x + -31y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 0 + -21x = 21x + -21x + -31y Remove the zero: -21x = 21x + -21x + -31y Combine like terms: 21x + -21x = 0 -21x = 0 + -31y -21x = -31y Divide each side by '-21'. x = 1.476190476y Simplifying x = 1.476190476y
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