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Simplifying 394 = 10x + 7(x + 15) Reorder the terms: 394 = 10x + 7(15 + x) 394 = 10x + (15 * 7 + x * 7) 394 = 10x + (105 + 7x) Reorder the terms: 394 = 105 + 10x + 7x Combine like terms: 10x + 7x = 17x 394 = 105 + 17x Solving 394 = 105 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 394 + -17x = 105 + 17x + -17x Combine like terms: 17x + -17x = 0 394 + -17x = 105 + 0 394 + -17x = 105 Add '-394' to each side of the equation. 394 + -394 + -17x = 105 + -394 Combine like terms: 394 + -394 = 0 0 + -17x = 105 + -394 -17x = 105 + -394 Combine like terms: 105 + -394 = -289 -17x = -289 Divide each side by '-17'. x = 17 Simplifying x = 17
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