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Simplifying 4(4x + -1(4 + -3y + 7x) + 4y) = 0 Reorder the terms: 4(4x + -1(4 + 7x + -3y) + 4y) = 0 4(4x + (4 * -1 + 7x * -1 + -3y * -1) + 4y) = 0 4(4x + (-4 + -7x + 3y) + 4y) = 0 Reorder the terms: 4(-4 + 4x + -7x + 3y + 4y) = 0 Combine like terms: 4x + -7x = -3x 4(-4 + -3x + 3y + 4y) = 0 Combine like terms: 3y + 4y = 7y 4(-4 + -3x + 7y) = 0 (-4 * 4 + -3x * 4 + 7y * 4) = 0 (-16 + -12x + 28y) = 0 Solving -16 + -12x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -12x + 16 + 28y = 0 + 16 Reorder the terms: -16 + 16 + -12x + 28y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12x + 28y = 0 + 16 -12x + 28y = 0 + 16 Combine like terms: 0 + 16 = 16 -12x + 28y = 16 Add '-28y' to each side of the equation. -12x + 28y + -28y = 16 + -28y Combine like terms: 28y + -28y = 0 -12x + 0 = 16 + -28y -12x = 16 + -28y Divide each side by '-12'. x = -1.333333333 + 2.333333333y Simplifying x = -1.333333333 + 2.333333333y
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