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