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Simplifying 4(3x + -1(6 + -7y + 7x) + 3y) = 0 Reorder the terms: 4(3x + -1(6 + 7x + -7y) + 3y) = 0 4(3x + (6 * -1 + 7x * -1 + -7y * -1) + 3y) = 0 4(3x + (-6 + -7x + 7y) + 3y) = 0 Reorder the terms: 4(-6 + 3x + -7x + 7y + 3y) = 0 Combine like terms: 3x + -7x = -4x 4(-6 + -4x + 7y + 3y) = 0 Combine like terms: 7y + 3y = 10y 4(-6 + -4x + 10y) = 0 (-6 * 4 + -4x * 4 + 10y * 4) = 0 (-24 + -16x + 40y) = 0 Solving -24 + -16x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -16x + 24 + 40y = 0 + 24 Reorder the terms: -24 + 24 + -16x + 40y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -16x + 40y = 0 + 24 -16x + 40y = 0 + 24 Combine like terms: 0 + 24 = 24 -16x + 40y = 24 Add '-40y' to each side of the equation. -16x + 40y + -40y = 24 + -40y Combine like terms: 40y + -40y = 0 -16x + 0 = 24 + -40y -16x = 24 + -40y Divide each side by '-16'. x = -1.5 + 2.5y Simplifying x = -1.5 + 2.5y
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