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Simplifying 6x + -9 + 2x = 8 + 2(3x + 6) Reorder the terms: -9 + 6x + 2x = 8 + 2(3x + 6) Combine like terms: 6x + 2x = 8x -9 + 8x = 8 + 2(3x + 6) Reorder the terms: -9 + 8x = 8 + 2(6 + 3x) -9 + 8x = 8 + (6 * 2 + 3x * 2) -9 + 8x = 8 + (12 + 6x) Combine like terms: 8 + 12 = 20 -9 + 8x = 20 + 6x Solving -9 + 8x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 8x + -6x = 20 + 6x + -6x Combine like terms: 8x + -6x = 2x -9 + 2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 2x = 20 + 0 -9 + 2x = 20 Add '9' to each side of the equation. -9 + 9 + 2x = 20 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 20 + 9 2x = 20 + 9 Combine like terms: 20 + 9 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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