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Simplifying -17 + 5x = 7 + -1(x + 6) Reorder the terms: -17 + 5x = 7 + -1(6 + x) -17 + 5x = 7 + (6 * -1 + x * -1) -17 + 5x = 7 + (-6 + -1x) Combine like terms: 7 + -6 = 1 -17 + 5x = 1 + -1x Solving -17 + 5x = 1 + -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. -17 + 5x + x = 1 + -1x + x Combine like terms: 5x + x = 6x -17 + 6x = 1 + -1x + x Combine like terms: -1x + x = 0 -17 + 6x = 1 + 0 -17 + 6x = 1 Add '17' to each side of the equation. -17 + 17 + 6x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 1 + 17 6x = 1 + 17 Combine like terms: 1 + 17 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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