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Simplifying 6x + -17 = -12 + x Reorder the terms: -17 + 6x = -12 + x Solving -17 + 6x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 6x + -1x = -12 + x + -1x Combine like terms: 6x + -1x = 5x -17 + 5x = -12 + x + -1x Combine like terms: x + -1x = 0 -17 + 5x = -12 + 0 -17 + 5x = -12 Add '17' to each side of the equation. -17 + 17 + 5x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -12 + 17 5x = -12 + 17 Combine like terms: -12 + 17 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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