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Simplifying 3x + 5(2x + -17) = 45 Reorder the terms: 3x + 5(-17 + 2x) = 45 3x + (-17 * 5 + 2x * 5) = 45 3x + (-85 + 10x) = 45 Reorder the terms: -85 + 3x + 10x = 45 Combine like terms: 3x + 10x = 13x -85 + 13x = 45 Solving -85 + 13x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 13x = 45 + 85 Combine like terms: -85 + 85 = 0 0 + 13x = 45 + 85 13x = 45 + 85 Combine like terms: 45 + 85 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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