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Simplifying 4(6x + -1(3 + -7y + 4x) + 5y) = 0 Reorder the terms: 4(6x + -1(3 + 4x + -7y) + 5y) = 0 4(6x + (3 * -1 + 4x * -1 + -7y * -1) + 5y) = 0 4(6x + (-3 + -4x + 7y) + 5y) = 0 Reorder the terms: 4(-3 + 6x + -4x + 7y + 5y) = 0 Combine like terms: 6x + -4x = 2x 4(-3 + 2x + 7y + 5y) = 0 Combine like terms: 7y + 5y = 12y 4(-3 + 2x + 12y) = 0 (-3 * 4 + 2x * 4 + 12y * 4) = 0 (-12 + 8x + 48y) = 0 Solving -12 + 8x + 48y = 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 + 8x + 12 + 48y = 0 + 12 Reorder the terms: -12 + 12 + 8x + 48y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8x + 48y = 0 + 12 8x + 48y = 0 + 12 Combine like terms: 0 + 12 = 12 8x + 48y = 12 Add '-48y' to each side of the equation. 8x + 48y + -48y = 12 + -48y Combine like terms: 48y + -48y = 0 8x + 0 = 12 + -48y 8x = 12 + -48y Divide each side by '8'. x = 1.5 + -6y Simplifying x = 1.5 + -6y
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