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Simplifying 10x + 9 = 4x + 51 Reorder the terms: 9 + 10x = 4x + 51 Reorder the terms: 9 + 10x = 51 + 4x Solving 9 + 10x = 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 + 10x + -4x = 51 + 4x + -4x Combine like terms: 10x + -4x = 6x 9 + 6x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 6x = 51 + 0 9 + 6x = 51 Add '-9' to each side of the equation. 9 + -9 + 6x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 51 + -9 6x = 51 + -9 Combine like terms: 51 + -9 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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