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Simplifying 10x + -27 = 6x + 17 Reorder the terms: -27 + 10x = 6x + 17 Reorder the terms: -27 + 10x = 17 + 6x Solving -27 + 10x = 17 + 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 = 17 + 6x + -6x Combine like terms: 10x + -6x = 4x -27 + 4x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 4x = 17 + 0 -27 + 4x = 17 Add '27' to each side of the equation. -27 + 27 + 4x = 17 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 17 + 27 4x = 17 + 27 Combine like terms: 17 + 27 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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