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Simplifying 7(4x + -1(4 + -7y + 6x) + 6y) = 0 Reorder the terms: 7(4x + -1(4 + 6x + -7y) + 6y) = 0 7(4x + (4 * -1 + 6x * -1 + -7y * -1) + 6y) = 0 7(4x + (-4 + -6x + 7y) + 6y) = 0 Reorder the terms: 7(-4 + 4x + -6x + 7y + 6y) = 0 Combine like terms: 4x + -6x = -2x 7(-4 + -2x + 7y + 6y) = 0 Combine like terms: 7y + 6y = 13y 7(-4 + -2x + 13y) = 0 (-4 * 7 + -2x * 7 + 13y * 7) = 0 (-28 + -14x + 91y) = 0 Solving -28 + -14x + 91y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -14x + 28 + 91y = 0 + 28 Reorder the terms: -28 + 28 + -14x + 91y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -14x + 91y = 0 + 28 -14x + 91y = 0 + 28 Combine like terms: 0 + 28 = 28 -14x + 91y = 28 Add '-91y' to each side of the equation. -14x + 91y + -91y = 28 + -91y Combine like terms: 91y + -91y = 0 -14x + 0 = 28 + -91y -14x = 28 + -91y Divide each side by '-14'. x = -2 + 6.5y Simplifying x = -2 + 6.5y
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