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Simplifying 2(2 + x) + -1(6 + -7x) = 13x + -1(1 + 9x) (2 * 2 + x * 2) + -1(6 + -7x) = 13x + -1(1 + 9x) (4 + 2x) + -1(6 + -7x) = 13x + -1(1 + 9x) 4 + 2x + (6 * -1 + -7x * -1) = 13x + -1(1 + 9x) 4 + 2x + (-6 + 7x) = 13x + -1(1 + 9x) Reorder the terms: 4 + -6 + 2x + 7x = 13x + -1(1 + 9x) Combine like terms: 4 + -6 = -2 -2 + 2x + 7x = 13x + -1(1 + 9x) Combine like terms: 2x + 7x = 9x -2 + 9x = 13x + -1(1 + 9x) -2 + 9x = 13x + (1 * -1 + 9x * -1) -2 + 9x = 13x + (-1 + -9x) Reorder the terms: -2 + 9x = -1 + 13x + -9x Combine like terms: 13x + -9x = 4x -2 + 9x = -1 + 4x Solving -2 + 9x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 9x + -4x = -1 + 4x + -4x Combine like terms: 9x + -4x = 5x -2 + 5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 5x = -1 + 0 -2 + 5x = -1 Add '2' to each side of the equation. -2 + 2 + 5x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -1 + 2 5x = -1 + 2 Combine like terms: -1 + 2 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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