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Simplifying 2x + 2(3x + 2) + -9 = 3x + -9 + 3 Reorder the terms: 2x + 2(2 + 3x) + -9 = 3x + -9 + 3 2x + (2 * 2 + 3x * 2) + -9 = 3x + -9 + 3 2x + (4 + 6x) + -9 = 3x + -9 + 3 Reorder the terms: 4 + -9 + 2x + 6x = 3x + -9 + 3 Combine like terms: 4 + -9 = -5 -5 + 2x + 6x = 3x + -9 + 3 Combine like terms: 2x + 6x = 8x -5 + 8x = 3x + -9 + 3 Reorder the terms: -5 + 8x = -9 + 3 + 3x Combine like terms: -9 + 3 = -6 -5 + 8x = -6 + 3x Solving -5 + 8x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 8x + -3x = -6 + 3x + -3x Combine like terms: 8x + -3x = 5x -5 + 5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 5x = -6 + 0 -5 + 5x = -6 Add '5' to each side of the equation. -5 + 5 + 5x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -6 + 5 5x = -6 + 5 Combine like terms: -6 + 5 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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