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Simplifying 8x + -5x + 32 = 2x + -51 Reorder the terms: 32 + 8x + -5x = 2x + -51 Combine like terms: 8x + -5x = 3x 32 + 3x = 2x + -51 Reorder the terms: 32 + 3x = -51 + 2x Solving 32 + 3x = -51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 3x + -2x = -51 + 2x + -2x Combine like terms: 3x + -2x = 1x 32 + 1x = -51 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 1x = -51 + 0 32 + 1x = -51 Add '-32' to each side of the equation. 32 + -32 + 1x = -51 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -51 + -32 1x = -51 + -32 Combine like terms: -51 + -32 = -83 1x = -83 Divide each side by '1'. x = -83 Simplifying x = -83
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