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Simplifying 10x + -27 = 6x + 1 Reorder the terms: -27 + 10x = 6x + 1 Reorder the terms: -27 + 10x = 1 + 6x Solving -27 + 10x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 10x + -6x = 1 + 6x + -6x Combine like terms: 10x + -6x = 4x -27 + 4x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 4x = 1 + 0 -27 + 4x = 1 Add '27' to each side of the equation. -27 + 27 + 4x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 1 + 27 4x = 1 + 27 Combine like terms: 1 + 27 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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