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Simplifying (3x + 7y + -4) + -3(2x + -4y + -1) = 0 Reorder the terms: (-4 + 3x + 7y) + -3(2x + -4y + -1) = 0 Remove parenthesis around (-4 + 3x + 7y) -4 + 3x + 7y + -3(2x + -4y + -1) = 0 Reorder the terms: -4 + 3x + 7y + -3(-1 + 2x + -4y) = 0 -4 + 3x + 7y + (-1 * -3 + 2x * -3 + -4y * -3) = 0 -4 + 3x + 7y + (3 + -6x + 12y) = 0 Reorder the terms: -4 + 3 + 3x + -6x + 7y + 12y = 0 Combine like terms: -4 + 3 = -1 -1 + 3x + -6x + 7y + 12y = 0 Combine like terms: 3x + -6x = -3x -1 + -3x + 7y + 12y = 0 Combine like terms: 7y + 12y = 19y -1 + -3x + 19y = 0 Solving -1 + -3x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3x + 1 + 19y = 0 + 1 Reorder the terms: -1 + 1 + -3x + 19y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x + 19y = 0 + 1 -3x + 19y = 0 + 1 Combine like terms: 0 + 1 = 1 -3x + 19y = 1 Add '-19y' to each side of the equation. -3x + 19y + -19y = 1 + -19y Combine like terms: 19y + -19y = 0 -3x + 0 = 1 + -19y -3x = 1 + -19y Divide each side by '-3'. x = -0.3333333333 + 6.333333333y Simplifying x = -0.3333333333 + 6.333333333y
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