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Simplifying -17 = 6x + -1(1 + 2x) -17 = 6x + (1 * -1 + 2x * -1) -17 = 6x + (-1 + -2x) Reorder the terms: -17 = -1 + 6x + -2x Combine like terms: 6x + -2x = 4x -17 = -1 + 4x Solving -17 = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + -4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -4x = -1 + 0 -17 + -4x = -1 Add '17' to each side of the equation. -17 + 17 + -4x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -1 + 17 -4x = -1 + 17 Combine like terms: -1 + 17 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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