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Simplifying -8x + 51 = -4x + 31 Reorder the terms: 51 + -8x = -4x + 31 Reorder the terms: 51 + -8x = 31 + -4x Solving 51 + -8x = 31 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 51 + -8x + 4x = 31 + -4x + 4x Combine like terms: -8x + 4x = -4x 51 + -4x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 51 + -4x = 31 + 0 51 + -4x = 31 Add '-51' to each side of the equation. 51 + -51 + -4x = 31 + -51 Combine like terms: 51 + -51 = 0 0 + -4x = 31 + -51 -4x = 31 + -51 Combine like terms: 31 + -51 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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