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Simplifying 3(x + -2y) = x + 2(y + -5) (x * 3 + -2y * 3) = x + 2(y + -5) (3x + -6y) = x + 2(y + -5) Reorder the terms: 3x + -6y = x + 2(-5 + y) 3x + -6y = x + (-5 * 2 + y * 2) 3x + -6y = x + (-10 + 2y) Reorder the terms: 3x + -6y = -10 + x + 2y Solving 3x + -6y = -10 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + -6y = -10 + x + -1x + 2y Combine like terms: 3x + -1x = 2x 2x + -6y = -10 + x + -1x + 2y Combine like terms: x + -1x = 0 2x + -6y = -10 + 0 + 2y 2x + -6y = -10 + 2y Add '6y' to each side of the equation. 2x + -6y + 6y = -10 + 2y + 6y Combine like terms: -6y + 6y = 0 2x + 0 = -10 + 2y + 6y 2x = -10 + 2y + 6y Combine like terms: 2y + 6y = 8y 2x = -10 + 8y Divide each side by '2'. x = -5 + 4y Simplifying x = -5 + 4y
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