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Simplifying 5(3x + -2y) + -4(3x + 4y) = 0 (3x * 5 + -2y * 5) + -4(3x + 4y) = 0 (15x + -10y) + -4(3x + 4y) = 0 15x + -10y + (3x * -4 + 4y * -4) = 0 15x + -10y + (-12x + -16y) = 0 Reorder the terms: 15x + -12x + -10y + -16y = 0 Combine like terms: 15x + -12x = 3x 3x + -10y + -16y = 0 Combine like terms: -10y + -16y = -26y 3x + -26y = 0 Solving 3x + -26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26y' to each side of the equation. 3x + -26y + 26y = 0 + 26y Combine like terms: -26y + 26y = 0 3x + 0 = 0 + 26y 3x = 0 + 26y Remove the zero: 3x = 26y Divide each side by '3'. x = 8.666666667y Simplifying x = 8.666666667y
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