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Simplifying -17 = -7x + -2(3x + 5) Reorder the terms: -17 = -7x + -2(5 + 3x) -17 = -7x + (5 * -2 + 3x * -2) -17 = -7x + (-10 + -6x) Reorder the terms: -17 = -10 + -7x + -6x Combine like terms: -7x + -6x = -13x -17 = -10 + -13x Solving -17 = -10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -17 + 13x = -10 + -13x + 13x Combine like terms: -13x + 13x = 0 -17 + 13x = -10 + 0 -17 + 13x = -10 Add '17' to each side of the equation. -17 + 17 + 13x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = -10 + 17 13x = -10 + 17 Combine like terms: -10 + 17 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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