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Simplifying 5(2 + -3x) + -17(-2x + -5) = 16 (2 * 5 + -3x * 5) + -17(-2x + -5) = 16 (10 + -15x) + -17(-2x + -5) = 16 Reorder the terms: 10 + -15x + -17(-5 + -2x) = 16 10 + -15x + (-5 * -17 + -2x * -17) = 16 10 + -15x + (85 + 34x) = 16 Reorder the terms: 10 + 85 + -15x + 34x = 16 Combine like terms: 10 + 85 = 95 95 + -15x + 34x = 16 Combine like terms: -15x + 34x = 19x 95 + 19x = 16 Solving 95 + 19x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 19x = 16 + -95 Combine like terms: 95 + -95 = 0 0 + 19x = 16 + -95 19x = 16 + -95 Combine like terms: 16 + -95 = -79 19x = -79 Divide each side by '19'. x = -4.157894737 Simplifying x = -4.157894737
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