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Simplifying 2(2 + x) + -6 + -7x = 13x + -1(1 + 4x) (2 * 2 + x * 2) + -6 + -7x = 13x + -1(1 + 4x) (4 + 2x) + -6 + -7x = 13x + -1(1 + 4x) Reorder the terms: 4 + -6 + 2x + -7x = 13x + -1(1 + 4x) Combine like terms: 4 + -6 = -2 -2 + 2x + -7x = 13x + -1(1 + 4x) Combine like terms: 2x + -7x = -5x -2 + -5x = 13x + -1(1 + 4x) -2 + -5x = 13x + (1 * -1 + 4x * -1) -2 + -5x = 13x + (-1 + -4x) Reorder the terms: -2 + -5x = -1 + 13x + -4x Combine like terms: 13x + -4x = 9x -2 + -5x = -1 + 9x Solving -2 + -5x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + -5x + -9x = -1 + 9x + -9x Combine like terms: -5x + -9x = -14x -2 + -14x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -14x = -1 + 0 -2 + -14x = -1 Add '2' to each side of the equation. -2 + 2 + -14x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = -1 + 2 -14x = -1 + 2 Combine like terms: -1 + 2 = 1 -14x = 1 Divide each side by '-14'. x = -0.07142857143 Simplifying x = -0.07142857143
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