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Simplifying 5x + 9 = 51 + -4x Reorder the terms: 9 + 5x = 51 + -4x Solving 9 + 5x = 51 + -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. 9 + 5x + 4x = 51 + -4x + 4x Combine like terms: 5x + 4x = 9x 9 + 9x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 9x = 51 + 0 9 + 9x = 51 Add '-9' to each side of the equation. 9 + -9 + 9x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 51 + -9 9x = 51 + -9 Combine like terms: 51 + -9 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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