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Simplifying 3(x + -3) + -1(2x + -5) = -17 Reorder the terms: 3(-3 + x) + -1(2x + -5) = -17 (-3 * 3 + x * 3) + -1(2x + -5) = -17 (-9 + 3x) + -1(2x + -5) = -17 Reorder the terms: -9 + 3x + -1(-5 + 2x) = -17 -9 + 3x + (-5 * -1 + 2x * -1) = -17 -9 + 3x + (5 + -2x) = -17 Reorder the terms: -9 + 5 + 3x + -2x = -17 Combine like terms: -9 + 5 = -4 -4 + 3x + -2x = -17 Combine like terms: 3x + -2x = 1x -4 + 1x = -17 Solving -4 + 1x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = -17 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -17 + 4 1x = -17 + 4 Combine like terms: -17 + 4 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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