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Simplifying 5(x + -3) = y(7 + 2x) Reorder the terms: 5(-3 + x) = y(7 + 2x) (-3 * 5 + x * 5) = y(7 + 2x) (-15 + 5x) = y(7 + 2x) -15 + 5x = (7 * y + 2x * y) Reorder the terms: -15 + 5x = (2xy + 7y) -15 + 5x = (2xy + 7y) Solving -15 + 5x = 2xy + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy' to each side of the equation. -15 + 5x + -2xy = 2xy + -2xy + 7y Combine like terms: 2xy + -2xy = 0 -15 + 5x + -2xy = 0 + 7y -15 + 5x + -2xy = 7y Add '15' to each side of the equation. -15 + 5x + 15 + -2xy = 15 + 7y Reorder the terms: -15 + 15 + 5x + -2xy = 15 + 7y Combine like terms: -15 + 15 = 0 0 + 5x + -2xy = 15 + 7y 5x + -2xy = 15 + 7y Reorder the terms: -15 + 5x + -2xy + -7y = 15 + 7y + -15 + -7y Reorder the terms: -15 + 5x + -2xy + -7y = 15 + -15 + 7y + -7y Combine like terms: 15 + -15 = 0 -15 + 5x + -2xy + -7y = 0 + 7y + -7y -15 + 5x + -2xy + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -15 + 5x + -2xy + -7y = 0 The solution to this equation could not be determined.
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