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Simplifying 1.2(3x + 5y) + -3.2(3x + -5) = 0 (3x * 1.2 + 5y * 1.2) + -3.2(3x + -5) = 0 (3.6x + 6y) + -3.2(3x + -5) = 0 Reorder the terms: 3.6x + 6y + -3.2(-5 + 3x) = 0 3.6x + 6y + (-5 * -3.2 + 3x * -3.2) = 0 3.6x + 6y + (16 + -9.6x) = 0 Reorder the terms: 16 + 3.6x + -9.6x + 6y = 0 Combine like terms: 3.6x + -9.6x = -6x 16 + -6x + 6y = 0 Solving 16 + -6x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -6x + -16 + 6y = 0 + -16 Reorder the terms: 16 + -16 + -6x + 6y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6x + 6y = 0 + -16 -6x + 6y = 0 + -16 Combine like terms: 0 + -16 = -16 -6x + 6y = -16 Add '-6y' to each side of the equation. -6x + 6y + -6y = -16 + -6y Combine like terms: 6y + -6y = 0 -6x + 0 = -16 + -6y -6x = -16 + -6y Divide each side by '-6'. x = 2.666666667 + y Simplifying x = 2.666666667 + y
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