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Simplifying 51 + -3x = 5x + -13 Reorder the terms: 51 + -3x = -13 + 5x Solving 51 + -3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 51 + -3x + -5x = -13 + 5x + -5x Combine like terms: -3x + -5x = -8x 51 + -8x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + -8x = -13 + 0 51 + -8x = -13 Add '-51' to each side of the equation. 51 + -51 + -8x = -13 + -51 Combine like terms: 51 + -51 = 0 0 + -8x = -13 + -51 -8x = -13 + -51 Combine like terms: -13 + -51 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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