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Simplifying 7(5x + -1(3 + -7y + 6x) + 4y) = 0 Reorder the terms: 7(5x + -1(3 + 6x + -7y) + 4y) = 0 7(5x + (3 * -1 + 6x * -1 + -7y * -1) + 4y) = 0 7(5x + (-3 + -6x + 7y) + 4y) = 0 Reorder the terms: 7(-3 + 5x + -6x + 7y + 4y) = 0 Combine like terms: 5x + -6x = -1x 7(-3 + -1x + 7y + 4y) = 0 Combine like terms: 7y + 4y = 11y 7(-3 + -1x + 11y) = 0 (-3 * 7 + -1x * 7 + 11y * 7) = 0 (-21 + -7x + 77y) = 0 Solving -21 + -7x + 77y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -7x + 21 + 77y = 0 + 21 Reorder the terms: -21 + 21 + -7x + 77y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7x + 77y = 0 + 21 -7x + 77y = 0 + 21 Combine like terms: 0 + 21 = 21 -7x + 77y = 21 Add '-77y' to each side of the equation. -7x + 77y + -77y = 21 + -77y Combine like terms: 77y + -77y = 0 -7x + 0 = 21 + -77y -7x = 21 + -77y Divide each side by '-7'. x = -3 + 11y Simplifying x = -3 + 11y
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