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Simplifying 14(2x + 3y) + -5(14y + 3x + -5) = 0 (2x * 14 + 3y * 14) + -5(14y + 3x + -5) = 0 (28x + 42y) + -5(14y + 3x + -5) = 0 Reorder the terms: 28x + 42y + -5(-5 + 3x + 14y) = 0 28x + 42y + (-5 * -5 + 3x * -5 + 14y * -5) = 0 28x + 42y + (25 + -15x + -70y) = 0 Reorder the terms: 25 + 28x + -15x + 42y + -70y = 0 Combine like terms: 28x + -15x = 13x 25 + 13x + 42y + -70y = 0 Combine like terms: 42y + -70y = -28y 25 + 13x + -28y = 0 Solving 25 + 13x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 13x + -25 + -28y = 0 + -25 Reorder the terms: 25 + -25 + 13x + -28y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 13x + -28y = 0 + -25 13x + -28y = 0 + -25 Combine like terms: 0 + -25 = -25 13x + -28y = -25 Add '28y' to each side of the equation. 13x + -28y + 28y = -25 + 28y Combine like terms: -28y + 28y = 0 13x + 0 = -25 + 28y 13x = -25 + 28y Divide each side by '13'. x = -1.923076923 + 2.153846154y Simplifying x = -1.923076923 + 2.153846154y
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