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Simplifying 10x + 27 = 3x + 146 Reorder the terms: 27 + 10x = 3x + 146 Reorder the terms: 27 + 10x = 146 + 3x Solving 27 + 10x = 146 + 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. 27 + 10x + -3x = 146 + 3x + -3x Combine like terms: 10x + -3x = 7x 27 + 7x = 146 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 7x = 146 + 0 27 + 7x = 146 Add '-27' to each side of the equation. 27 + -27 + 7x = 146 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 146 + -27 7x = 146 + -27 Combine like terms: 146 + -27 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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