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Simplifying 8.5(4 + x) = 3(2 + x) (4 * 8.5 + x * 8.5) = 3(2 + x) (34 + 8.5x) = 3(2 + x) 34 + 8.5x = (2 * 3 + x * 3) 34 + 8.5x = (6 + 3x) Solving 34 + 8.5x = 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. 34 + 8.5x + -3x = 6 + 3x + -3x Combine like terms: 8.5x + -3x = 5.5x 34 + 5.5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + 5.5x = 6 + 0 34 + 5.5x = 6 Add '-34' to each side of the equation. 34 + -34 + 5.5x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 5.5x = 6 + -34 5.5x = 6 + -34 Combine like terms: 6 + -34 = -28 5.5x = -28 Divide each side by '5.5'. x = -5.090909091 Simplifying x = -5.090909091
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