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Simplifying 10x + 1 = 3x + 57 Reorder the terms: 1 + 10x = 3x + 57 Reorder the terms: 1 + 10x = 57 + 3x Solving 1 + 10x = 57 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 10x + -3x = 57 + 3x + -3x Combine like terms: 10x + -3x = 7x 1 + 7x = 57 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 7x = 57 + 0 1 + 7x = 57 Add '-1' to each side of the equation. 1 + -1 + 7x = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 57 + -1 7x = 57 + -1 Combine like terms: 57 + -1 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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