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Simplifying (13x + 2x + -4) + (-1x + -1x + 1) + (-3x + 5x + 7) = 0 Reorder the terms: (-4 + 13x + 2x) + (-1x + -1x + 1) + (-3x + 5x + 7) = 0 Combine like terms: 13x + 2x = 15x (-4 + 15x) + (-1x + -1x + 1) + (-3x + 5x + 7) = 0 Remove parenthesis around (-4 + 15x) -4 + 15x + (-1x + -1x + 1) + (-3x + 5x + 7) = 0 Reorder the terms: -4 + 15x + (1 + -1x + -1x) + (-3x + 5x + 7) = 0 Combine like terms: -1x + -1x = -2x -4 + 15x + (1 + -2x) + (-3x + 5x + 7) = 0 Remove parenthesis around (1 + -2x) -4 + 15x + 1 + -2x + (-3x + 5x + 7) = 0 Reorder the terms: -4 + 15x + 1 + -2x + (7 + -3x + 5x) = 0 Combine like terms: -3x + 5x = 2x -4 + 15x + 1 + -2x + (7 + 2x) = 0 Remove parenthesis around (7 + 2x) -4 + 15x + 1 + -2x + 7 + 2x = 0 Reorder the terms: -4 + 1 + 7 + 15x + -2x + 2x = 0 Combine like terms: -4 + 1 = -3 -3 + 7 + 15x + -2x + 2x = 0 Combine like terms: -3 + 7 = 4 4 + 15x + -2x + 2x = 0 Combine like terms: 15x + -2x = 13x 4 + 13x + 2x = 0 Combine like terms: 13x + 2x = 15x 4 + 15x = 0 Solving 4 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 0 + -4 15x = 0 + -4 Combine like terms: 0 + -4 = -4 15x = -4 Divide each side by '15'. x = -0.2666666667 Simplifying x = -0.2666666667
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