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Simplifying 6x + 1 = 51 + -4x Reorder the terms: 1 + 6x = 51 + -4x Solving 1 + 6x = 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. 1 + 6x + 4x = 51 + -4x + 4x Combine like terms: 6x + 4x = 10x 1 + 10x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 10x = 51 + 0 1 + 10x = 51 Add '-1' to each side of the equation. 1 + -1 + 10x = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 51 + -1 10x = 51 + -1 Combine like terms: 51 + -1 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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