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Simplifying 6x + -2 + 9x = 3x + 8x + 32 Reorder the terms: -2 + 6x + 9x = 3x + 8x + 32 Combine like terms: 6x + 9x = 15x -2 + 15x = 3x + 8x + 32 Reorder the terms: -2 + 15x = 32 + 3x + 8x Combine like terms: 3x + 8x = 11x -2 + 15x = 32 + 11x Solving -2 + 15x = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 15x + -11x = 32 + 11x + -11x Combine like terms: 15x + -11x = 4x -2 + 4x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + 4x = 32 + 0 -2 + 4x = 32 Add '2' to each side of the equation. -2 + 2 + 4x = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 32 + 2 4x = 32 + 2 Combine like terms: 32 + 2 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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