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Simplifying -17 = 6x + -1(3x + -10) Reorder the terms: -17 = 6x + -1(-10 + 3x) -17 = 6x + (-10 * -1 + 3x * -1) -17 = 6x + (10 + -3x) Reorder the terms: -17 = 10 + 6x + -3x Combine like terms: 6x + -3x = 3x -17 = 10 + 3x Solving -17 = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + -3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -3x = 10 + 0 -17 + -3x = 10 Add '17' to each side of the equation. -17 + 17 + -3x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 10 + 17 -3x = 10 + 17 Combine like terms: 10 + 17 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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