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Simplifying 4x + -5 + 8x = 8x + 10 + 32 Reorder the terms: -5 + 4x + 8x = 8x + 10 + 32 Combine like terms: 4x + 8x = 12x -5 + 12x = 8x + 10 + 32 Reorder the terms: -5 + 12x = 10 + 32 + 8x Combine like terms: 10 + 32 = 42 -5 + 12x = 42 + 8x Solving -5 + 12x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 12x + -8x = 42 + 8x + -8x Combine like terms: 12x + -8x = 4x -5 + 4x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 4x = 42 + 0 -5 + 4x = 42 Add '5' to each side of the equation. -5 + 5 + 4x = 42 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 42 + 5 4x = 42 + 5 Combine like terms: 42 + 5 = 47 4x = 47 Divide each side by '4'. x = 11.75 Simplifying x = 11.75
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