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Simplifying 5(3x + 2) + -4 + 2(-5x + 4) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 Reorder the terms: 5(2 + 3x) + -4 + 2(-5x + 4) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 (2 * 5 + 3x * 5) + -4 + 2(-5x + 4) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 (10 + 15x) + -4 + 2(-5x + 4) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 Reorder the terms: 10 + 15x + -4 + 2(4 + -5x) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + (4 * 2 + -5x * 2) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + (8 + -10x) + -3 + 14 + 2(5x + -1) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 Reorder the terms: 10 + 15x + -4 + 8 + -10x + -3 + 14 + 2(-1 + 5x) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + (-1 * 2 + 5x * 2) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + (-2 + 10x) + -7(3x + 2y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + (3x * -7 + 2y * -7) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + (-21x + -14y) + 5(4x + 2y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + (4x * 5 + 2y * 5) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + (20x + 10y) + 11(5x + 3y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + 20x + 10y + (5x * 11 + 3y * 11) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + 20x + 10y + (55x + 33y) + 4(12x + 5y) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + 20x + 10y + 55x + 33y + (12x * 4 + 5y * 4) = 0 10 + 15x + -4 + 8 + -10x + -3 + 14 + -2 + 10x + -21x + -14y + 20x + 10y + 55x + 33y + (48x + 20y) = 0 Reorder the terms: 10 + -4 + 8 + -3 + 14 + -2 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 10 + -4 = 6 6 + 8 + -3 + 14 + -2 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 6 + 8 = 14 14 + -3 + 14 + -2 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 14 + -3 = 11 11 + 14 + -2 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 11 + 14 = 25 25 + -2 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 25 + -2 = 23 23 + 15x + -10x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 15x + -10x = 5x 23 + 5x + 10x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 5x + 10x = 15x 23 + 15x + -21x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 15x + -21x = -6x 23 + -6x + 20x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: -6x + 20x = 14x 23 + 14x + 55x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 14x + 55x = 69x 23 + 69x + 48x + -14y + 10y + 33y + 20y = 0 Combine like terms: 69x + 48x = 117x 23 + 117x + -14y + 10y + 33y + 20y = 0 Combine like terms: -14y + 10y = -4y 23 + 117x + -4y + 33y + 20y = 0 Combine like terms: -4y + 33y = 29y 23 + 117x + 29y + 20y = 0 Combine like terms: 29y + 20y = 49y 23 + 117x + 49y = 0 Solving 23 + 117x + 49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 117x + -23 + 49y = 0 + -23 Reorder the terms: 23 + -23 + 117x + 49y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 117x + 49y = 0 + -23 117x + 49y = 0 + -23 Combine like terms: 0 + -23 = -23 117x + 49y = -23 Add '-49y' to each side of the equation. 117x + 49y + -49y = -23 + -49y Combine like terms: 49y + -49y = 0 117x + 0 = -23 + -49y 117x = -23 + -49y Divide each side by '117'. x = -0.1965811966 + -0.4188034188y Simplifying x = -0.1965811966 + -0.4188034188y
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