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Simplifying 8x + -6 + x = 32 + -2x + 6 Reorder the terms: -6 + 8x + x = 32 + -2x + 6 Combine like terms: 8x + x = 9x -6 + 9x = 32 + -2x + 6 Reorder the terms: -6 + 9x = 32 + 6 + -2x Combine like terms: 32 + 6 = 38 -6 + 9x = 38 + -2x Solving -6 + 9x = 38 + -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 + 9x + 2x = 38 + -2x + 2x Combine like terms: 9x + 2x = 11x -6 + 11x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 11x = 38 + 0 -6 + 11x = 38 Add '6' to each side of the equation. -6 + 6 + 11x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 38 + 6 11x = 38 + 6 Combine like terms: 38 + 6 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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