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Simplifying 7(3x + -1(2 + -5y + 5x) + 7y) = 0 Reorder the terms: 7(3x + -1(2 + 5x + -5y) + 7y) = 0 7(3x + (2 * -1 + 5x * -1 + -5y * -1) + 7y) = 0 7(3x + (-2 + -5x + 5y) + 7y) = 0 Reorder the terms: 7(-2 + 3x + -5x + 5y + 7y) = 0 Combine like terms: 3x + -5x = -2x 7(-2 + -2x + 5y + 7y) = 0 Combine like terms: 5y + 7y = 12y 7(-2 + -2x + 12y) = 0 (-2 * 7 + -2x * 7 + 12y * 7) = 0 (-14 + -14x + 84y) = 0 Solving -14 + -14x + 84y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -14x + 14 + 84y = 0 + 14 Reorder the terms: -14 + 14 + -14x + 84y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14x + 84y = 0 + 14 -14x + 84y = 0 + 14 Combine like terms: 0 + 14 = 14 -14x + 84y = 14 Add '-84y' to each side of the equation. -14x + 84y + -84y = 14 + -84y Combine like terms: 84y + -84y = 0 -14x + 0 = 14 + -84y -14x = 14 + -84y Divide each side by '-14'. x = -1 + 6y Simplifying x = -1 + 6y
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