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Simplifying [2(y + -4) + -3(2x + 1)] + -1(7x + -3y + 5) = 0 Reorder the terms: [2(-4 + y) + -3(2x + 1)] + -1(7x + -3y + 5) = 0 [(-4 * 2 + y * 2) + -3(2x + 1)] + -1(7x + -3y + 5) = 0 [(-8 + 2y) + -3(2x + 1)] + -1(7x + -3y + 5) = 0 Reorder the terms: [-8 + 2y + -3(1 + 2x)] + -1(7x + -3y + 5) = 0 [-8 + 2y + (1 * -3 + 2x * -3)] + -1(7x + -3y + 5) = 0 [-8 + 2y + (-3 + -6x)] + -1(7x + -3y + 5) = 0 Reorder the terms: [-8 + -3 + -6x + 2y] + -1(7x + -3y + 5) = 0 Combine like terms: -8 + -3 = -11 [-11 + -6x + 2y] + -1(7x + -3y + 5) = 0 Remove brackets around [-11 + -6x + 2y] -11 + -6x + 2y + -1(7x + -3y + 5) = 0 Reorder the terms: -11 + -6x + 2y + -1(5 + 7x + -3y) = 0 -11 + -6x + 2y + (5 * -1 + 7x * -1 + -3y * -1) = 0 -11 + -6x + 2y + (-5 + -7x + 3y) = 0 Reorder the terms: -11 + -5 + -6x + -7x + 2y + 3y = 0 Combine like terms: -11 + -5 = -16 -16 + -6x + -7x + 2y + 3y = 0 Combine like terms: -6x + -7x = -13x -16 + -13x + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -16 + -13x + 5y = 0 Solving -16 + -13x + 5y = 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 + -13x + 16 + 5y = 0 + 16 Reorder the terms: -16 + 16 + -13x + 5y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -13x + 5y = 0 + 16 -13x + 5y = 0 + 16 Combine like terms: 0 + 16 = 16 -13x + 5y = 16 Add '-5y' to each side of the equation. -13x + 5y + -5y = 16 + -5y Combine like terms: 5y + -5y = 0 -13x + 0 = 16 + -5y -13x = 16 + -5y Divide each side by '-13'. x = -1.230769231 + 0.3846153846y Simplifying x = -1.230769231 + 0.3846153846y
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