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Simplifying (4x + -6 + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Reorder the terms: (-6 + 4x + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Combine like terms: 4x + 5x = 9x (-6 + 9x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Remove parenthesis around (-6 + 9x) -6 + 9x + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Reorder the terms: -6 + 9x + (9 + 3 + -5x + -2x) = 7x + -1(1 + -6x) Combine like terms: 9 + 3 = 12 -6 + 9x + (12 + -5x + -2x) = 7x + -1(1 + -6x) Combine like terms: -5x + -2x = -7x -6 + 9x + (12 + -7x) = 7x + -1(1 + -6x) Remove parenthesis around (12 + -7x) -6 + 9x + 12 + -7x = 7x + -1(1 + -6x) Reorder the terms: -6 + 12 + 9x + -7x = 7x + -1(1 + -6x) Combine like terms: -6 + 12 = 6 6 + 9x + -7x = 7x + -1(1 + -6x) Combine like terms: 9x + -7x = 2x 6 + 2x = 7x + -1(1 + -6x) 6 + 2x = 7x + (1 * -1 + -6x * -1) 6 + 2x = 7x + (-1 + 6x) Reorder the terms: 6 + 2x = -1 + 7x + 6x Combine like terms: 7x + 6x = 13x 6 + 2x = -1 + 13x Solving 6 + 2x = -1 + 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. 6 + 2x + -13x = -1 + 13x + -13x Combine like terms: 2x + -13x = -11x 6 + -11x = -1 + 13x + -13x Combine like terms: 13x + -13x = 0 6 + -11x = -1 + 0 6 + -11x = -1 Add '-6' to each side of the equation. 6 + -6 + -11x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -1 + -6 -11x = -1 + -6 Combine like terms: -1 + -6 = -7 -11x = -7 Divide each side by '-11'. x = 0.6363636364 Simplifying x = 0.6363636364
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