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Simplifying 7(3x + -4y) = 3(5x + 2y) (3x * 7 + -4y * 7) = 3(5x + 2y) (21x + -28y) = 3(5x + 2y) 21x + -28y = (5x * 3 + 2y * 3) 21x + -28y = (15x + 6y) Solving 21x + -28y = 15x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21x + -15x + -28y = 15x + -15x + 6y Combine like terms: 21x + -15x = 6x 6x + -28y = 15x + -15x + 6y Combine like terms: 15x + -15x = 0 6x + -28y = 0 + 6y 6x + -28y = 6y Add '28y' to each side of the equation. 6x + -28y + 28y = 6y + 28y Combine like terms: -28y + 28y = 0 6x + 0 = 6y + 28y 6x = 6y + 28y Combine like terms: 6y + 28y = 34y 6x = 34y Divide each side by '6'. x = 5.666666667y Simplifying x = 5.666666667y
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