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Simplifying 3x + -1(9x + 19) = 6 + -1(13x + -2) Reorder the terms: 3x + -1(19 + 9x) = 6 + -1(13x + -2) 3x + (19 * -1 + 9x * -1) = 6 + -1(13x + -2) 3x + (-19 + -9x) = 6 + -1(13x + -2) Reorder the terms: -19 + 3x + -9x = 6 + -1(13x + -2) Combine like terms: 3x + -9x = -6x -19 + -6x = 6 + -1(13x + -2) Reorder the terms: -19 + -6x = 6 + -1(-2 + 13x) -19 + -6x = 6 + (-2 * -1 + 13x * -1) -19 + -6x = 6 + (2 + -13x) Combine like terms: 6 + 2 = 8 -19 + -6x = 8 + -13x Solving -19 + -6x = 8 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -19 + -6x + 13x = 8 + -13x + 13x Combine like terms: -6x + 13x = 7x -19 + 7x = 8 + -13x + 13x Combine like terms: -13x + 13x = 0 -19 + 7x = 8 + 0 -19 + 7x = 8 Add '19' to each side of the equation. -19 + 19 + 7x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 8 + 19 7x = 8 + 19 Combine like terms: 8 + 19 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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