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Simplifying 3x + -2(5 + -3y) = 7 3x + (5 * -2 + -3y * -2) = 7 3x + (-10 + 6y) = 7 Reorder the terms: -10 + 3x + 6y = 7 Solving -10 + 3x + 6y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3x + 10 + 6y = 7 + 10 Reorder the terms: -10 + 10 + 3x + 6y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 3x + 6y = 7 + 10 3x + 6y = 7 + 10 Combine like terms: 7 + 10 = 17 3x + 6y = 17 Add '-6y' to each side of the equation. 3x + 6y + -6y = 17 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 17 + -6y 3x = 17 + -6y Divide each side by '3'. x = 5.666666667 + -2y Simplifying x = 5.666666667 + -2y
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