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Simplifying 7(3x + -4y + 7) + 5(2x + -3y + 5) = 0 Reorder the terms: 7(7 + 3x + -4y) + 5(2x + -3y + 5) = 0 (7 * 7 + 3x * 7 + -4y * 7) + 5(2x + -3y + 5) = 0 (49 + 21x + -28y) + 5(2x + -3y + 5) = 0 Reorder the terms: 49 + 21x + -28y + 5(5 + 2x + -3y) = 0 49 + 21x + -28y + (5 * 5 + 2x * 5 + -3y * 5) = 0 49 + 21x + -28y + (25 + 10x + -15y) = 0 Reorder the terms: 49 + 25 + 21x + 10x + -28y + -15y = 0 Combine like terms: 49 + 25 = 74 74 + 21x + 10x + -28y + -15y = 0 Combine like terms: 21x + 10x = 31x 74 + 31x + -28y + -15y = 0 Combine like terms: -28y + -15y = -43y 74 + 31x + -43y = 0 Solving 74 + 31x + -43y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + 31x + -74 + -43y = 0 + -74 Reorder the terms: 74 + -74 + 31x + -43y = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 31x + -43y = 0 + -74 31x + -43y = 0 + -74 Combine like terms: 0 + -74 = -74 31x + -43y = -74 Add '43y' to each side of the equation. 31x + -43y + 43y = -74 + 43y Combine like terms: -43y + 43y = 0 31x + 0 = -74 + 43y 31x = -74 + 43y Divide each side by '31'. x = -2.387096774 + 1.387096774y Simplifying x = -2.387096774 + 1.387096774y
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