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Simplifying 7(2x + -4y + 6) + 3(4x + -5) = 0 Reorder the terms: 7(6 + 2x + -4y) + 3(4x + -5) = 0 (6 * 7 + 2x * 7 + -4y * 7) + 3(4x + -5) = 0 (42 + 14x + -28y) + 3(4x + -5) = 0 Reorder the terms: 42 + 14x + -28y + 3(-5 + 4x) = 0 42 + 14x + -28y + (-5 * 3 + 4x * 3) = 0 42 + 14x + -28y + (-15 + 12x) = 0 Reorder the terms: 42 + -15 + 14x + 12x + -28y = 0 Combine like terms: 42 + -15 = 27 27 + 14x + 12x + -28y = 0 Combine like terms: 14x + 12x = 26x 27 + 26x + -28y = 0 Solving 27 + 26x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 26x + -27 + -28y = 0 + -27 Reorder the terms: 27 + -27 + 26x + -28y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 26x + -28y = 0 + -27 26x + -28y = 0 + -27 Combine like terms: 0 + -27 = -27 26x + -28y = -27 Add '28y' to each side of the equation. 26x + -28y + 28y = -27 + 28y Combine like terms: -28y + 28y = 0 26x + 0 = -27 + 28y 26x = -27 + 28y Divide each side by '26'. x = -1.038461538 + 1.076923077y Simplifying x = -1.038461538 + 1.076923077y
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