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Simplifying -5(3x + 9) + -2 = -17 Reorder the terms: -5(9 + 3x) + -2 = -17 (9 * -5 + 3x * -5) + -2 = -17 (-45 + -15x) + -2 = -17 Reorder the terms: -45 + -2 + -15x = -17 Combine like terms: -45 + -2 = -47 -47 + -15x = -17 Solving -47 + -15x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -15x = -17 + 47 Combine like terms: -47 + 47 = 0 0 + -15x = -17 + 47 -15x = -17 + 47 Combine like terms: -17 + 47 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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