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Simplifying 5(3x + -5y) = -6(-2x + 3y) (3x * 5 + -5y * 5) = -6(-2x + 3y) (15x + -25y) = -6(-2x + 3y) 15x + -25y = (-2x * -6 + 3y * -6) 15x + -25y = (12x + -18y) Solving 15x + -25y = 12x + -18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15x + -12x + -25y = 12x + -12x + -18y Combine like terms: 15x + -12x = 3x 3x + -25y = 12x + -12x + -18y Combine like terms: 12x + -12x = 0 3x + -25y = 0 + -18y 3x + -25y = -18y Add '25y' to each side of the equation. 3x + -25y + 25y = -18y + 25y Combine like terms: -25y + 25y = 0 3x + 0 = -18y + 25y 3x = -18y + 25y Combine like terms: -18y + 25y = 7y 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333y
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