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Simplifying -5(x + 3) + -17 = 11 + 2 Reorder the terms: -5(3 + x) + -17 = 11 + 2 (3 * -5 + x * -5) + -17 = 11 + 2 (-15 + -5x) + -17 = 11 + 2 Reorder the terms: -15 + -17 + -5x = 11 + 2 Combine like terms: -15 + -17 = -32 -32 + -5x = 11 + 2 Combine like terms: 11 + 2 = 13 -32 + -5x = 13 Solving -32 + -5x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -5x = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 13 + 32 -5x = 13 + 32 Combine like terms: 13 + 32 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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