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Simplifying 10x + -27 = 3x + 1 Reorder the terms: -27 + 10x = 3x + 1 Reorder the terms: -27 + 10x = 1 + 3x Solving -27 + 10x = 1 + 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 = 1 + 3x + -3x Combine like terms: 10x + -3x = 7x -27 + 7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 7x = 1 + 0 -27 + 7x = 1 Add '27' to each side of the equation. -27 + 27 + 7x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 1 + 27 7x = 1 + 27 Combine like terms: 1 + 27 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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