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Simplifying 806 = 1.5x + 3.5(368 + -1x) 806 = 1.5x + (368 * 3.5 + -1x * 3.5) 806 = 1.5x + (1288 + -3.5x) Reorder the terms: 806 = 1288 + 1.5x + -3.5x Combine like terms: 1.5x + -3.5x = -2x 806 = 1288 + -2x Solving 806 = 1288 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 806 + 2x = 1288 + -2x + 2x Combine like terms: -2x + 2x = 0 806 + 2x = 1288 + 0 806 + 2x = 1288 Add '-806' to each side of the equation. 806 + -806 + 2x = 1288 + -806 Combine like terms: 806 + -806 = 0 0 + 2x = 1288 + -806 2x = 1288 + -806 Combine like terms: 1288 + -806 = 482 2x = 482 Divide each side by '2'. x = 241 Simplifying x = 241
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