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Simplifying 6x + -27 = 15 + -1x Reorder the terms: -27 + 6x = 15 + -1x Solving -27 + 6x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 6x + x = 15 + -1x + x Combine like terms: 6x + x = 7x -27 + 7x = 15 + -1x + x Combine like terms: -1x + x = 0 -27 + 7x = 15 + 0 -27 + 7x = 15 Add '27' to each side of the equation. -27 + 27 + 7x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 15 + 27 7x = 15 + 27 Combine like terms: 15 + 27 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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