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Simplifying 2x = 3x + -5 + 2(1.67x + 8) Reorder the terms: 2x = 3x + -5 + 2(8 + 1.67x) 2x = 3x + -5 + (8 * 2 + 1.67x * 2) 2x = 3x + -5 + (16 + 3.34x) Reorder the terms: 2x = -5 + 16 + 3x + 3.34x Combine like terms: -5 + 16 = 11 2x = 11 + 3x + 3.34x Combine like terms: 3x + 3.34x = 6.34x 2x = 11 + 6.34x Solving 2x = 11 + 6.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.34x' to each side of the equation. 2x + -6.34x = 11 + 6.34x + -6.34x Combine like terms: 2x + -6.34x = -4.34x -4.34x = 11 + 6.34x + -6.34x Combine like terms: 6.34x + -6.34x = 0.00 -4.34x = 11 + 0.00 -4.34x = 11 Divide each side by '-4.34'. x = -2.534562212 Simplifying x = -2.534562212
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