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Simplifying x + -2(3 + -2x) = 2x + 9 x + (3 * -2 + -2x * -2) = 2x + 9 x + (-6 + 4x) = 2x + 9 Reorder the terms: -6 + x + 4x = 2x + 9 Combine like terms: x + 4x = 5x -6 + 5x = 2x + 9 Reorder the terms: -6 + 5x = 9 + 2x Solving -6 + 5x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 5x + -2x = 9 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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