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Simplifying -2(x + 5) = 3(y + -2) Reorder the terms: -2(5 + x) = 3(y + -2) (5 * -2 + x * -2) = 3(y + -2) (-10 + -2x) = 3(y + -2) Reorder the terms: -10 + -2x = 3(-2 + y) -10 + -2x = (-2 * 3 + y * 3) -10 + -2x = (-6 + 3y) Solving -10 + -2x = -6 + 3y 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 + 10 + -2x = -6 + 10 + 3y Combine like terms: -10 + 10 = 0 0 + -2x = -6 + 10 + 3y -2x = -6 + 10 + 3y Combine like terms: -6 + 10 = 4 -2x = 4 + 3y Divide each side by '-2'. x = -2 + -1.5y Simplifying x = -2 + -1.5y
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