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Simplifying 5(4x + -1(3 + -7y + 5x) + 7y) = 0 Reorder the terms: 5(4x + -1(3 + 5x + -7y) + 7y) = 0 5(4x + (3 * -1 + 5x * -1 + -7y * -1) + 7y) = 0 5(4x + (-3 + -5x + 7y) + 7y) = 0 Reorder the terms: 5(-3 + 4x + -5x + 7y + 7y) = 0 Combine like terms: 4x + -5x = -1x 5(-3 + -1x + 7y + 7y) = 0 Combine like terms: 7y + 7y = 14y 5(-3 + -1x + 14y) = 0 (-3 * 5 + -1x * 5 + 14y * 5) = 0 (-15 + -5x + 70y) = 0 Solving -15 + -5x + 70y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5x + 15 + 70y = 0 + 15 Reorder the terms: -15 + 15 + -5x + 70y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5x + 70y = 0 + 15 -5x + 70y = 0 + 15 Combine like terms: 0 + 15 = 15 -5x + 70y = 15 Add '-70y' to each side of the equation. -5x + 70y + -70y = 15 + -70y Combine like terms: 70y + -70y = 0 -5x + 0 = 15 + -70y -5x = 15 + -70y Divide each side by '-5'. x = -3 + 14y Simplifying x = -3 + 14y
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