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Simplifying 5x + 11 = 8x + 32 Reorder the terms: 11 + 5x = 8x + 32 Reorder the terms: 11 + 5x = 32 + 8x Solving 11 + 5x = 32 + 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. 11 + 5x + -8x = 32 + 8x + -8x Combine like terms: 5x + -8x = -3x 11 + -3x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -3x = 32 + 0 11 + -3x = 32 Add '-11' to each side of the equation. 11 + -11 + -3x = 32 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 32 + -11 -3x = 32 + -11 Combine like terms: 32 + -11 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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