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Simplifying 5(5x + -1(7 + -7y + 2x) + 7y) = 0 Reorder the terms: 5(5x + -1(7 + 2x + -7y) + 7y) = 0 5(5x + (7 * -1 + 2x * -1 + -7y * -1) + 7y) = 0 5(5x + (-7 + -2x + 7y) + 7y) = 0 Reorder the terms: 5(-7 + 5x + -2x + 7y + 7y) = 0 Combine like terms: 5x + -2x = 3x 5(-7 + 3x + 7y + 7y) = 0 Combine like terms: 7y + 7y = 14y 5(-7 + 3x + 14y) = 0 (-7 * 5 + 3x * 5 + 14y * 5) = 0 (-35 + 15x + 70y) = 0 Solving -35 + 15x + 70y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 15x + 35 + 70y = 0 + 35 Reorder the terms: -35 + 35 + 15x + 70y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 15x + 70y = 0 + 35 15x + 70y = 0 + 35 Combine like terms: 0 + 35 = 35 15x + 70y = 35 Add '-70y' to each side of the equation. 15x + 70y + -70y = 35 + -70y Combine like terms: 70y + -70y = 0 15x + 0 = 35 + -70y 15x = 35 + -70y Divide each side by '15'. x = 2.333333333 + -4.666666667y Simplifying x = 2.333333333 + -4.666666667y
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