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Simplifying -5x + -17 = -3(x + 9) Reorder the terms: -17 + -5x = -3(x + 9) Reorder the terms: -17 + -5x = -3(9 + x) -17 + -5x = (9 * -3 + x * -3) -17 + -5x = (-27 + -3x) Solving -17 + -5x = -27 + -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 + -5x + 3x = -27 + -3x + 3x Combine like terms: -5x + 3x = -2x -17 + -2x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + -2x = -27 + 0 -17 + -2x = -27 Add '17' to each side of the equation. -17 + 17 + -2x = -27 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -27 + 17 -2x = -27 + 17 Combine like terms: -27 + 17 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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