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Simplifying 4(5x + -1(3 + -5y + 4x) + 4y) = 0 Reorder the terms: 4(5x + -1(3 + 4x + -5y) + 4y) = 0 4(5x + (3 * -1 + 4x * -1 + -5y * -1) + 4y) = 0 4(5x + (-3 + -4x + 5y) + 4y) = 0 Reorder the terms: 4(-3 + 5x + -4x + 5y + 4y) = 0 Combine like terms: 5x + -4x = 1x 4(-3 + 1x + 5y + 4y) = 0 Combine like terms: 5y + 4y = 9y 4(-3 + 1x + 9y) = 0 (-3 * 4 + 1x * 4 + 9y * 4) = 0 (-12 + 4x + 36y) = 0 Solving -12 + 4x + 36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4x + 12 + 36y = 0 + 12 Reorder the terms: -12 + 12 + 4x + 36y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x + 36y = 0 + 12 4x + 36y = 0 + 12 Combine like terms: 0 + 12 = 12 4x + 36y = 12 Add '-36y' to each side of the equation. 4x + 36y + -36y = 12 + -36y Combine like terms: 36y + -36y = 0 4x + 0 = 12 + -36y 4x = 12 + -36y Divide each side by '4'. x = 3 + -9y Simplifying x = 3 + -9y
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