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Simplifying 2x + -5 + 8 = 8x + 10 + 32 Reorder the terms: -5 + 8 + 2x = 8x + 10 + 32 Combine like terms: -5 + 8 = 3 3 + 2x = 8x + 10 + 32 Reorder the terms: 3 + 2x = 10 + 32 + 8x Combine like terms: 10 + 32 = 42 3 + 2x = 42 + 8x Solving 3 + 2x = 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. 3 + 2x + -8x = 42 + 8x + -8x Combine like terms: 2x + -8x = -6x 3 + -6x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -6x = 42 + 0 3 + -6x = 42 Add '-3' to each side of the equation. 3 + -3 + -6x = 42 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 42 + -3 -6x = 42 + -3 Combine like terms: 42 + -3 = 39 -6x = 39 Divide each side by '-6'. x = -6.5 Simplifying x = -6.5
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