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Simplifying 5x + 1 = 8x + -32 Reorder the terms: 1 + 5x = 8x + -32 Reorder the terms: 1 + 5x = -32 + 8x Solving 1 + 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. 1 + 5x + -8x = -32 + 8x + -8x Combine like terms: 5x + -8x = -3x 1 + -3x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -3x = -32 + 0 1 + -3x = -32 Add '-1' to each side of the equation. 1 + -1 + -3x = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -32 + -1 -3x = -32 + -1 Combine like terms: -32 + -1 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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