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Simplifying 6 + 3(3x + -5) + -17x = -1(2x + -1) Reorder the terms: 6 + 3(-5 + 3x) + -17x = -1(2x + -1) 6 + (-5 * 3 + 3x * 3) + -17x = -1(2x + -1) 6 + (-15 + 9x) + -17x = -1(2x + -1) Combine like terms: 6 + -15 = -9 -9 + 9x + -17x = -1(2x + -1) Combine like terms: 9x + -17x = -8x -9 + -8x = -1(2x + -1) Reorder the terms: -9 + -8x = -1(-1 + 2x) -9 + -8x = (-1 * -1 + 2x * -1) -9 + -8x = (1 + -2x) Solving -9 + -8x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + -8x + 2x = 1 + -2x + 2x Combine like terms: -8x + 2x = -6x -9 + -6x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + -6x = 1 + 0 -9 + -6x = 1 Add '9' to each side of the equation. -9 + 9 + -6x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 1 + 9 -6x = 1 + 9 Combine like terms: 1 + 9 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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