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Simplifying 4(6x + -7y) + -1(x + 5y) = 0 (6x * 4 + -7y * 4) + -1(x + 5y) = 0 (24x + -28y) + -1(x + 5y) = 0 24x + -28y + (x * -1 + 5y * -1) = 0 24x + -28y + (-1x + -5y) = 0 Reorder the terms: 24x + -1x + -28y + -5y = 0 Combine like terms: 24x + -1x = 23x 23x + -28y + -5y = 0 Combine like terms: -28y + -5y = -33y 23x + -33y = 0 Solving 23x + -33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33y' to each side of the equation. 23x + -33y + 33y = 0 + 33y Combine like terms: -33y + 33y = 0 23x + 0 = 0 + 33y 23x = 0 + 33y Remove the zero: 23x = 33y Divide each side by '23'. x = 1.434782609y Simplifying x = 1.434782609y
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