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Simplifying -17x = -27 + -1(-8x + 21) Reorder the terms: -17x = -27 + -1(21 + -8x) -17x = -27 + (21 * -1 + -8x * -1) -17x = -27 + (-21 + 8x) Combine like terms: -27 + -21 = -48 -17x = -48 + 8x Solving -17x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17x + -8x = -48 + 8x + -8x Combine like terms: -17x + -8x = -25x -25x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -25x = -48 + 0 -25x = -48 Divide each side by '-25'. x = 1.92 Simplifying x = 1.92
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