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Simplifying -2(3 + -2x) + 9x = -2(2x + 1) (3 * -2 + -2x * -2) + 9x = -2(2x + 1) (-6 + 4x) + 9x = -2(2x + 1) Combine like terms: 4x + 9x = 13x -6 + 13x = -2(2x + 1) Reorder the terms: -6 + 13x = -2(1 + 2x) -6 + 13x = (1 * -2 + 2x * -2) -6 + 13x = (-2 + -4x) Solving -6 + 13x = -2 + -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. -6 + 13x + 4x = -2 + -4x + 4x Combine like terms: 13x + 4x = 17x -6 + 17x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 17x = -2 + 0 -6 + 17x = -2 Add '6' to each side of the equation. -6 + 6 + 17x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = -2 + 6 17x = -2 + 6 Combine like terms: -2 + 6 = 4 17x = 4 Divide each side by '17'. x = 0.2352941176 Simplifying x = 0.2352941176
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