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Simplifying 5(x + 17) = 3x + 6 Reorder the terms: 5(17 + x) = 3x + 6 (17 * 5 + x * 5) = 3x + 6 (85 + 5x) = 3x + 6 Reorder the terms: 85 + 5x = 6 + 3x Solving 85 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 85 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 85 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 85 + 2x = 6 + 0 85 + 2x = 6 Add '-85' to each side of the equation. 85 + -85 + 2x = 6 + -85 Combine like terms: 85 + -85 = 0 0 + 2x = 6 + -85 2x = 6 + -85 Combine like terms: 6 + -85 = -79 2x = -79 Divide each side by '2'. x = -39.5 Simplifying x = -39.5
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