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Simplifying 8x + -32 = 58 + 6x Reorder the terms: -32 + 8x = 58 + 6x Solving -32 + 8x = 58 + 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. -32 + 8x + -6x = 58 + 6x + -6x Combine like terms: 8x + -6x = 2x -32 + 2x = 58 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 2x = 58 + 0 -32 + 2x = 58 Add '32' to each side of the equation. -32 + 32 + 2x = 58 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 58 + 32 2x = 58 + 32 Combine like terms: 58 + 32 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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