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Simplifying 8(4x + -5y) + -7(7x + 6y) = 0 (4x * 8 + -5y * 8) + -7(7x + 6y) = 0 (32x + -40y) + -7(7x + 6y) = 0 32x + -40y + (7x * -7 + 6y * -7) = 0 32x + -40y + (-49x + -42y) = 0 Reorder the terms: 32x + -49x + -40y + -42y = 0 Combine like terms: 32x + -49x = -17x -17x + -40y + -42y = 0 Combine like terms: -40y + -42y = -82y -17x + -82y = 0 Solving -17x + -82y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82y' to each side of the equation. -17x + -82y + 82y = 0 + 82y Combine like terms: -82y + 82y = 0 -17x + 0 = 0 + 82y -17x = 0 + 82y Remove the zero: -17x = 82y Divide each side by '-17'. x = -4.823529412y Simplifying x = -4.823529412y
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