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Simplifying -1(4x + -6 + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Reorder the terms: -1(-6 + 4x + 5x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) Combine like terms: 4x + 5x = 9x -1(-6 + 9x) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) (-6 * -1 + 9x * -1) + (9 + -5x + 3 + -2x) = 7x + -1(1 + -6x) (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 = 18 18 + -9x + -7x = 7x + -1(1 + -6x) Combine like terms: -9x + -7x = -16x 18 + -16x = 7x + -1(1 + -6x) 18 + -16x = 7x + (1 * -1 + -6x * -1) 18 + -16x = 7x + (-1 + 6x) Reorder the terms: 18 + -16x = -1 + 7x + 6x Combine like terms: 7x + 6x = 13x 18 + -16x = -1 + 13x Solving 18 + -16x = -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. 18 + -16x + -13x = -1 + 13x + -13x Combine like terms: -16x + -13x = -29x 18 + -29x = -1 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -29x = -1 + 0 18 + -29x = -1 Add '-18' to each side of the equation. 18 + -18 + -29x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -29x = -1 + -18 -29x = -1 + -18 Combine like terms: -1 + -18 = -19 -29x = -19 Divide each side by '-29'. x = 0.6551724138 Simplifying x = 0.6551724138
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