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Simplifying -51 + 8x = 45 + 11x Solving -51 + 8x = 45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -51 + 8x + -11x = 45 + 11x + -11x Combine like terms: 8x + -11x = -3x -51 + -3x = 45 + 11x + -11x Combine like terms: 11x + -11x = 0 -51 + -3x = 45 + 0 -51 + -3x = 45 Add '51' to each side of the equation. -51 + 51 + -3x = 45 + 51 Combine like terms: -51 + 51 = 0 0 + -3x = 45 + 51 -3x = 45 + 51 Combine like terms: 45 + 51 = 96 -3x = 96 Divide each side by '-3'. x = -32 Simplifying x = -32
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